Number

72,073

72,073 is a prime, odd.

72,073 (seventy-two thousand seventy-three) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x11989.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

72,061 72,062 72,063 72,064 72,065 72,066 72,067 72,068 72,069 72,070 72,071 72,072 72,073 72,074 72,075 72,076 72,077 72,078 72,079 72,080 72,081 72,082 72,083 72,084 72,085

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 37,027
Recamán's sequence: a(127,453) = 72,073
Square (n²): 5,194,517,329
Cube (n³): 374,384,447,453,017
Divisor count: 2
σ(n) — sum of divisors: 72,074
φ(n) — Euler's totient: 72,072

Primality

72,073 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 72073

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 72,073)

1 × 72073

First multiples

72,073 · 144,146 (double) · 216,219 · 288,292 · 360,365 · 432,438 · 504,511 · 576,584 · 648,657 · 720,730

Sums & aliquot sequence

As a sum of two squares: 28² + 267²

As consecutive integers: 36,036 + 36,037

Continued fraction of √n

√72,073 = [268; (2, 6, 2, 8, 1, 21, 2, 10, 1, 2, 3, 3, 4, 3, 2, 66, 1, 2, 6, 2, 6, 178, 1, 4, …)]

Representations

In words: seventy-two thousand seventy-three
Ordinal: 72073rd
Binary: 10001100110001001
Octal: 214611
Hexadecimal: 0x11989
Base64: ARmJ
One's complement: 4,294,895,222 (32-bit)
Scientific notation: 7.2073 × 10⁴
As a duration: 72,073 s = 20 hours, 1 minute, 13 seconds

In other bases

ternary (3) 10122212101

quaternary (4) 101212021

quinary (5) 4301243

senary (6) 1313401

septenary (7) 420061

nonary (9) 118771

undecimal (11) 4a171

duodecimal (12) 35861

tridecimal (13) 26a61

tetradecimal (14) 1c3a1

pentadecimal (15) 1654d

As an angle

72,073° = 200 × 360° + 73°

73° ≈ 1.274 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵οβογʹ
Mayan (base 20): 𝋩·𝋠·𝋣·𝋭
Chinese: 七萬二千零七十三
Chinese (financial): 柒萬貳仟零柒拾參

In other modern scripts

Eastern Arabic ٧٢٠٧٣ Devanagari ७२०७३ Bengali ৭২০৭৩ Tamil ௭௨௦௭௩ Thai ๗๒๐๗๓ Tibetan ༧༢༠༧༣ Khmer ៧២០៧៣ Lao ໗໒໐໗໓ Burmese ၇၂၀၇၃

Digit at this position in famous constants

π — Pi (π): Digit 72,073 = 5
e — Euler's number (e): Digit 72,073 = 9
φ — Golden ratio (φ): Digit 72,073 = 6
√2 — Pythagoras's (√2): Digit 72,073 = 3
ln 2 — Natural log of 2: Digit 72,073 = 8
γ — Euler-Mascheroni (γ): Digit 72,073 = 6

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 72,053 (gap of 20)
Next prime: 72,077 (gap of 4)

Pair status: cousin with 72077.

Hex color

#011989

RGB(1, 25, 137)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.25.137.

Address: 0.1.25.137
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.25.137

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

Position in π

The digit sequence 72073 first appears in π at position 338,557 of the decimal expansion (the 338,557ordinal-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.

Look up 72073 on Pi Search ↗