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72,016

72,016 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.).
Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
61,027
Recamán's sequence
a(127,567) = 72,016
Square (n²)
5,186,304,256
Cube (n³)
373,496,887,300,096
Divisor count
20
σ(n) — sum of divisors
159,712
φ(n) — Euler's totient
30,816
Sum of prime factors
658

Primality

Prime factorization: 2 4 × 7 × 643

Nearest primes: 71,999 (−17) · 72,019 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 643 · 1286 · 2572 · 4501 · 5144 · 9002 · 10288 · 18004 · 36008 (half) · 72016
Aliquot sum (sum of proper divisors): 87,696
Factor pairs (a × b = 72,016)
1 × 72016
2 × 36008
4 × 18004
7 × 10288
8 × 9002
14 × 5144
16 × 4501
28 × 2572
56 × 1286
112 × 643
First multiples
72,016 · 144,032 (double) · 216,048 · 288,064 · 360,080 · 432,096 · 504,112 · 576,128 · 648,144 · 720,160

Sums & aliquot sequence

As consecutive integers: 10,285 + 10,286 + … + 10,291 2,235 + 2,236 + … + 2,266 210 + 211 + … + 433
Aliquot sequence: 72,016 87,696 209,904 332,472 617,928 926,952 1,569,528 2,681,472 4,442,208 7,218,840 14,957,160 29,914,680 60,870,120 122,729,880 330,466,920 802,565,400 2,259,738,600 — unresolved within range

Representations

In words
seventy-two thousand sixteen
Ordinal
72016th
Binary
10001100101010000
Octal
214520
Hexadecimal
0x11950
Base64
ARlQ
One's complement
4,294,895,279 (32-bit)
In other bases
ternary (3) 10122210021
quaternary (4) 101211100
quinary (5) 4301031
senary (6) 1313224
septenary (7) 416650
nonary (9) 118707
undecimal (11) 4a11a
duodecimal (12) 35814
tridecimal (13) 26a19
tetradecimal (14) 1c360
pentadecimal (15) 16511

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 · 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵οβιϛʹ
Mayan (base 20)
𝋩·𝋠·𝋠·𝋰
Chinese
七萬二千零一十六
Chinese (financial)
柒萬貳仟零壹拾陸
In other modern scripts
Eastern Arabic ٧٢٠١٦ Devanagari ७२०१६ Bengali ৭২০১৬ Tamil ௭௨௦௧௬ Thai ๗๒๐๑๖ Tibetan ༧༢༠༡༦ Khmer ៧២០១៦ Lao ໗໒໐໑໖ Burmese ၇၂၀၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 72,016 = 4
e — Euler's number (e)
Digit 72,016 = 7
φ — Golden ratio (φ)
Digit 72,016 = 0
√2 — Pythagoras's (√2)
Digit 72,016 = 8
ln 2 — Natural log of 2
Digit 72,016 = 8
γ — Euler-Mascheroni (γ)
Digit 72,016 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 72016, here are decompositions:

  • 17 + 71999 = 72016
  • 23 + 71993 = 72016
  • 29 + 71987 = 72016
  • 53 + 71963 = 72016
  • 83 + 71933 = 72016
  • 107 + 71909 = 72016
  • 137 + 71879 = 72016
  • 149 + 71867 = 72016

Showing the first eight; more decompositions exist.

Unicode codepoint
𑥐
Dives Akuru Digit Zero
U+11950
Decimal digit (Nd)

UTF-8 encoding: F0 91 A5 90 (4 bytes).

Hex color
#011950
RGB(1, 25, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.25.80.

Address
0.1.25.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.25.80

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

Position in π

The digit sequence 72016 first appears in π at position 82,579 of the decimal expansion (the 82,579ordinal-suffix:th 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.