Number

72,091

72,091 is a prime, odd.

72,091 (seventy-two thousand ninety-one) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1199B.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

72,079 72,080 72,081 72,082 72,083 72,084 72,085 72,086 72,087 72,088 72,089 72,090 72,091 72,092 72,093 72,094 72,095 72,096 72,097 72,098 72,099 72,100 72,101 72,102 72,103

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Properties

Parity: Odd
Digit count: 5
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 17 bits
Reversed: 19,027
Recamán's sequence: a(127,417) = 72,091
Square (n²): 5,197,112,281
Cube (n³): 374,665,021,449,571
Divisor count: 2
σ(n) — sum of divisors: 72,092
φ(n) — Euler's totient: 72,090

Primality

72,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 72091

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 72,091)

1 × 72091

First multiples

72,091 · 144,182 (double) · 216,273 · 288,364 · 360,455 · 432,546 · 504,637 · 576,728 · 648,819 · 720,910

Sums & aliquot sequence

As consecutive integers: 36,045 + 36,046

Continued fraction of √n

√72,091 = [268; (2, 106, 1, 8, 1, 20, 1, 1, 2, 1, 1, 1, 2, 3, 1, 10, 1, 9, 4, 1, 1, 1, 1, 3, …)]

Representations

In words: seventy-two thousand ninety-one
Ordinal: 72091st
Binary: 10001100110011011
Octal: 214633
Hexadecimal: 0x1199B
Base64: ARmb
One's complement: 4,294,895,204 (32-bit)
Scientific notation: 7.2091 × 10⁴
As a duration: 72,091 s = 20 hours, 1 minute, 31 seconds

In other bases

ternary (3) 10122220001

quaternary (4) 101212123

quinary (5) 4301331

senary (6) 1313431

septenary (7) 420115

nonary (9) 118801

undecimal (11) 4a188

duodecimal (12) 35877

tridecimal (13) 26a76

tetradecimal (14) 1c3b5

pentadecimal (15) 16561

Palindromic in base 15

As an angle

72,091° = 200 × 360° + 91°

91° ≈ 1.588 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋 𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵οβϟαʹ
Mayan (base 20): 𝋩·𝋠·𝋤·𝋫
Chinese: 七萬二千零九十一
Chinese (financial): 柒萬貳仟零玖拾壹

In other modern scripts

Eastern Arabic ٧٢٠٩١ Devanagari ७२०९१ Bengali ৭২০৯১ Tamil ௭௨௦௯௧ Thai ๗๒๐๙๑ Tibetan ༧༢༠༩༡ Khmer ៧២០៩១ Lao ໗໒໐໙໑ Burmese ၇၂၀၉၁

Digit at this position in famous constants

π — Pi (π): Digit 72,091 = 6
e — Euler's number (e): Digit 72,091 = 6
φ — Golden ratio (φ): Digit 72,091 = 2
√2 — Pythagoras's (√2): Digit 72,091 = 5
ln 2 — Natural log of 2: Digit 72,091 = 1
γ — Euler-Mascheroni (γ): Digit 72,091 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 72,089 (gap of 2)
Next prime: 72,101 (gap of 10)

Pair status: twin with 72089.

Hex color

#01199B

RGB(1, 25, 155)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.25.155.

Address: 0.1.25.155
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.25.155

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

Position in π

The digit sequence 72091 first appears in π at position 117,008 of the decimal expansion (the 117,008ordinal-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 72091 on Pi Search ↗