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Number

72,161

72,161 is a prime, odd.

Arithmetic Number Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
84
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
16,127
Recamán's sequence
a(127,277) = 72,161
Square (n²)
5,207,209,921
Cube (n³)
375,757,475,109,281
Divisor count
2
σ(n) — sum of divisors
72,162
φ(n) — Euler's totient
72,160

Primality

72,161 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 72161
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 72,161)
1 × 72161
First multiples
72,161 · 144,322 (double) · 216,483 · 288,644 · 360,805 · 432,966 · 505,127 · 577,288 · 649,449 · 721,610

Sums & aliquot sequence

As a sum of two squares: 44² + 265²
As consecutive integers: 36,080 + 36,081

Representations

In words
seventy-two thousand one hundred sixty-one
Ordinal
72161st
Binary
10001100111100001
Octal
214741
Hexadecimal
0x119E1
Base64
ARnh
One's complement
4,294,895,134 (32-bit)
In other bases
ternary (3) 10122222122
quaternary (4) 101213201
quinary (5) 4302121
senary (6) 1314025
septenary (7) 420245
nonary (9) 118878
undecimal (11) 4a241
duodecimal (12) 35915
tridecimal (13) 26acb
tetradecimal (14) 1c425
pentadecimal (15) 165ab

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵οβρξαʹ
Mayan (base 20)
𝋩·𝋠·𝋨·𝋡
Chinese
七萬二千一百六十一
Chinese (financial)
柒萬貳仟壹佰陸拾壹
In other modern scripts
Eastern Arabic ٧٢١٦١ Devanagari ७२१६१ Bengali ৭২১৬১ Tamil ௭௨௧௬௧ Thai ๗๒๑๖๑ Tibetan ༧༢༡༦༡ Khmer ៧២១៦១ Lao ໗໒໑໖໑ Burmese ၇၂၁၆၁

Digit at this position in famous constants

π — Pi (π)
Digit 72,161 = 0
e — Euler's number (e)
Digit 72,161 = 7
φ — Golden ratio (φ)
Digit 72,161 = 8
√2 — Pythagoras's (√2)
Digit 72,161 = 7
ln 2 — Natural log of 2
Digit 72,161 = 2
γ — Euler-Mascheroni (γ)
Digit 72,161 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 72,139 (gap of 22)
  • Next prime: 72,167 (gap of 6)

Pair status: sexy with 72167.

Unicode codepoint
𑧡
Nandinagari Sign Avagraha
U+119E1
Other letter (Lo)

UTF-8 encoding: F0 91 A7 A1 (4 bytes).

Hex color
#0119E1
RGB(1, 25, 225)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.25.225.

Address
0.1.25.225
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.25.225

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

Position in π

The digit sequence 72161 first appears in π at position 144,576 of the decimal expansion (the 144,576ordinal-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.