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72,164

72,164 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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
336
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
46,127
Recamán's sequence
a(127,271) = 72,164
Square (n²)
5,207,642,896
Cube (n³)
375,804,341,946,944
Divisor count
6
σ(n) — sum of divisors
126,294
φ(n) — Euler's totient
36,080
Sum of prime factors
18,045

Primality

Prime factorization: 2 2 × 18041

Nearest primes: 72,161 (−3) · 72,167 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 18041 · 36082 (half) · 72164
Aliquot sum (sum of proper divisors): 54,130
Factor pairs (a × b = 72,164)
1 × 72164
2 × 36082
4 × 18041
First multiples
72,164 · 144,328 (double) · 216,492 · 288,656 · 360,820 · 432,984 · 505,148 · 577,312 · 649,476 · 721,640

Sums & aliquot sequence

As a sum of two squares: 170² + 208²
As consecutive integers: 9,017 + 9,018 + … + 9,024
Aliquot sequence: 72,164 54,130 43,322 21,664 21,050 18,196 13,654 6,830 5,482 2,744 3,256 3,584 4,600 6,560 9,316 8,072 7,078 — unresolved within range

Representations

In words
seventy-two thousand one hundred sixty-four
Ordinal
72164th
Binary
10001100111100100
Octal
214744
Hexadecimal
0x119E4
Base64
ARnk
One's complement
4,294,895,131 (32-bit)
In other bases
ternary (3) 10122222202
quaternary (4) 101213210
quinary (5) 4302124
senary (6) 1314032
septenary (7) 420251
nonary (9) 118882
undecimal (11) 4a244
duodecimal (12) 35918
tridecimal (13) 26b01
tetradecimal (14) 1c428
pentadecimal (15) 165ae

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵οβρξδʹ
Mayan (base 20)
𝋩·𝋠·𝋨·𝋤
Chinese
七萬二千一百六十四
Chinese (financial)
柒萬貳仟壹佰陸拾肆
In other modern scripts
Eastern Arabic ٧٢١٦٤ Devanagari ७२१६४ Bengali ৭২১৬৪ Tamil ௭௨௧௬௪ Thai ๗๒๑๖๔ Tibetan ༧༢༡༦༤ Khmer ៧២១៦៤ Lao ໗໒໑໖໔ Burmese ၇၂၁၆၄

Digit at this position in famous constants

π — Pi (π)
Digit 72,164 = 1
e — Euler's number (e)
Digit 72,164 = 0
φ — Golden ratio (φ)
Digit 72,164 = 4
√2 — Pythagoras's (√2)
Digit 72,164 = 5
ln 2 — Natural log of 2
Digit 72,164 = 8
γ — Euler-Mascheroni (γ)
Digit 72,164 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 72164, here are decompositions:

  • 3 + 72161 = 72164
  • 61 + 72103 = 72164
  • 73 + 72091 = 72164
  • 181 + 71983 = 72164
  • 193 + 71971 = 72164
  • 223 + 71941 = 72164
  • 277 + 71887 = 72164
  • 283 + 71881 = 72164

Showing the first eight; more decompositions exist.

Unicode codepoint
𑧤
Nandinagari Vowel Sign Prishthamatra E
U+119E4
Spacing combining mark (Mc)

UTF-8 encoding: F0 91 A7 A4 (4 bytes).

Hex color
#0119E4
RGB(1, 25, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.25.228.

Address
0.1.25.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.25.228

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000072164
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 72164 first appears in π at position 1,420 of the decimal expansion (the 1,420ordinal-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.