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72,960

72,960 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 Harshad / Niven

Properties

Parity
Even
Digit count
5
Digit sum
24
Digital root
6
Palindrome
No
Divisor count
72
σ(n) — sum of divisors
245,280

Primality

Prime factorization: 2 8 × 3 × 5 × 19

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 19 · 20 · 24 · 30 · 32 · 38 · 40 · 48 · 57 · 60 · 64 · 76 · 80 · 95 · 96 · 114 · 120 · 128 · 152 · 160 · 190 · 192 · 228 · 240 · 256 · 285 · 304 · 320 · 380 · 384 · 456 · 480 · 570 · 608 · 640 · 760 · 768 · 912 · 960 · 1140 · 1216 · 1280 · 1520 · 1824 · 1920 · 2280 · 2432 · 3040 · 3648 · 3840 · 4560 · 4864 · 6080 · 7296 · 9120 · 12160 · 14592 · 18240 · 24320 · 36480 · 72960
Aliquot sum (sum of proper divisors): 172,320
Factor pairs (a × b = 72,960)
1 × 72960
2 × 36480
3 × 24320
4 × 18240
5 × 14592
6 × 12160
8 × 9120
10 × 7296
12 × 6080
15 × 4864
16 × 4560
19 × 3840
20 × 3648
24 × 3040
30 × 2432
32 × 2280
38 × 1920
40 × 1824
48 × 1520
57 × 1280
60 × 1216
64 × 1140
76 × 960
80 × 912
95 × 768
96 × 760
114 × 640
120 × 608
128 × 570
152 × 480
160 × 456
190 × 384
192 × 380
228 × 320
240 × 304
256 × 285
First multiples
72,960 · 145,920 · 218,880 · 291,840 · 364,800 · 437,760 · 510,720 · 583,680 · 656,640 · 729,600

Representations

In words
seventy-two thousand nine hundred sixty
Ordinal
72960th
Binary
10001110100000000
Octal
216400
Hexadecimal
11D00

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 72960, here are decompositions:

  • 7 + 72953 = 72960
  • 11 + 72949 = 72960
  • 23 + 72937 = 72960
  • 29 + 72931 = 72960
  • 37 + 72923 = 72960
  • 53 + 72907 = 72960
  • 59 + 72901 = 72960
  • 67 + 72893 = 72960

Showing the first eight; more decompositions exist.

Unicode codepoint
𑴀
U+11D00
Other letter (Lo)

UTF-8 encoding: F0 91 B4 80 (4 bytes).

Hex color
#011D00
RGB(1, 29, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.29.0.

Possible US bank routing number

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

Routing number
000072960
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.