Live analysis

72,720

72,720 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

72,720 (seventy-two thousand seven hundred twenty) is an even 5-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 5 × 101. Its proper divisors sum to 173,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x11C10.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

72,708 72,709 72,710 72,711 72,712 72,713 72,714 72,715 72,716 72,717 72,718 72,719 72,720 72,721 72,722 72,723 72,724 72,725 72,726 72,727 72,728 72,729 72,730 72,731 72,732

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 2,727
Square (n²): 5,288,198,400
Cube (n³): 384,557,787,648,000
Divisor count: 60
σ(n) — sum of divisors: 246,636
φ(n) — Euler's totient: 19,200
Sum of prime factors: 120

Primality

Prime factorization: 2 ⁴ × 3 ² × 5 × 101

Nearest primes: 72,719 (−1) · 72,727 (+7)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 30 · 36 · 40 · 45 · 48 · 60 · 72 · 80 · 90 · 101 · 120 · 144 · 180 · 202 · 240 · 303 · 360 · 404 · 505 · 606 · 720 · 808 · 909 · 1010 · 1212 · 1515 · 1616 · 1818 · 2020 · 2424 · 3030 · 3636 · 4040 · 4545 · 4848 · 6060 · 7272 · 8080 · 9090 · 12120 · 14544 · 18180 · 24240 · 36360 (half) · 72720

Aliquot sum (sum of proper divisors): 173,916

Factor pairs (a × b = 72,720)

1 × 72720

2 × 36360

3 × 24240

4 × 18180

5 × 14544

6 × 12120

8 × 9090

9 × 8080

10 × 7272

12 × 6060

15 × 4848

16 × 4545

18 × 4040

20 × 3636

24 × 3030

30 × 2424

36 × 2020

40 × 1818

45 × 1616

48 × 1515

60 × 1212

72 × 1010

80 × 909

90 × 808

101 × 720

120 × 606

144 × 505

180 × 404

202 × 360

240 × 303

First multiples

72,720 · 145,440 (double) · 218,160 · 290,880 · 363,600 · 436,320 · 509,040 · 581,760 · 654,480 · 727,200

Sums & aliquot sequence

As a sum of two squares: 96² + 252² = 144² + 228²

As consecutive integers: 24,239 + 24,240 + 24,241 14,542 + 14,543 + 14,544 + 14,545 + 14,546 8,076 + 8,077 + … + 8,084 4,841 + 4,842 + … + 4,855

Aliquot sequence: 72,720 → 173,916 → 265,796 → 199,354 → 101,606 → 52,618 → 26,312 → 34,168 → 29,912 → 26,188 → 19,648 → 19,468 → 15,924 → 21,260 → 23,428 → 17,578 → 13,526 — unresolved within range

Continued fraction of √n

√72,720 = [269; (1, 1, 1, 538)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: seventy-two thousand seven hundred twenty
Ordinal: 72720th
Binary: 10001110000010000
Octal: 216020
Hexadecimal: 0x11C10
Base64: ARwQ
One's complement: 4,294,894,575 (32-bit)
Scientific notation: 7.272 × 10⁴
As a duration: 72,720 s = 20 hours, 12 minutes

In other bases

ternary (3) 10200202100

quaternary (4) 101300100

quinary (5) 4311340

senary (6) 1320400

septenary (7) 422004

nonary (9) 120670

undecimal (11) 4a6aa

duodecimal (12) 36100

tridecimal (13) 2713b

tetradecimal (14) 1c704

pentadecimal (15) 16830

As an angle

72,720° = 202 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒌋𒁹𒁹 ·
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵οβψκʹ
Mayan (base 20): 𝋩·𝋡·𝋰·𝋠
Chinese: 七萬二千七百二十
Chinese (financial): 柒萬貳仟柒佰貳拾

In other modern scripts

Eastern Arabic ٧٢٧٢٠ Devanagari ७२७२० Bengali ৭২৭২০ Tamil ௭௨௭௨௦ Thai ๗๒๗๒๐ Tibetan ༧༢༧༢༠ Khmer ៧២៧២០ Lao ໗໒໗໒໐ Burmese ၇၂၇၂၀

Digit at this position in famous constants

π — Pi (π): Digit 72,720 = 0
e — Euler's number (e): Digit 72,720 = 5
φ — Golden ratio (φ): Digit 72,720 = 0
√2 — Pythagoras's (√2): Digit 72,720 = 7
ln 2 — Natural log of 2: Digit 72,720 = 3
γ — Euler-Mascheroni (γ): Digit 72,720 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 72720, here are decompositions:

13 + 72707 = 72720
19 + 72701 = 72720
31 + 72689 = 72720
41 + 72679 = 72720
47 + 72673 = 72720
59 + 72661 = 72720
71 + 72649 = 72720
73 + 72647 = 72720

Showing the first eight; more decompositions exist.

Unicode codepoint

𑰐

Bhaiksuki Letter Ga

U+11C10

Other letter (Lo)

UTF-8 encoding: F0 91 B0 90 (4 bytes).

Lookup U+11C10 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#011C10

RGB(1, 28, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.28.16.

Address: 0.1.28.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.28.16

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 72720 first appears in π at position 126,932 of the decimal expansion (the 126,932ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 72720 on Pi Search ↗