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72,000

72,000 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 Achilles Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
27
Recamán's sequence
a(127,599) = 72,000
Square (n²)
5,184,000,000
Cube (n³)
373,248,000,000,000
Divisor count
84
σ(n) — sum of divisors
257,556
φ(n) — Euler's totient
19,200
Sum of prime factors
33

Primality

Prime factorization: 2 6 × 3 2 × 5 3

Nearest primes: 71,999 (−1) · 72,019 (+19)

Divisors & multiples

All divisors (84)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 60 · 64 · 72 · 75 · 80 · 90 · 96 · 100 · 120 · 125 · 144 · 150 · 160 · 180 · 192 · 200 · 225 · 240 · 250 · 288 · 300 · 320 · 360 · 375 · 400 · 450 · 480 · 500 · 576 · 600 · 720 · 750 · 800 · 900 · 960 · 1000 · 1125 · 1200 · 1440 · 1500 · 1600 · 1800 · 2000 · 2250 · 2400 · 2880 · 3000 · 3600 · 4000 · 4500 · 4800 · 6000 · 7200 · 8000 · 9000 · 12000 · 14400 · 18000 · 24000 · 36000 (half) · 72000
Aliquot sum (sum of proper divisors): 185,556
Factor pairs (a × b = 72,000)
1 × 72000
2 × 36000
3 × 24000
4 × 18000
5 × 14400
6 × 12000
8 × 9000
9 × 8000
10 × 7200
12 × 6000
15 × 4800
16 × 4500
18 × 4000
20 × 3600
24 × 3000
25 × 2880
30 × 2400
32 × 2250
36 × 2000
40 × 1800
45 × 1600
48 × 1500
50 × 1440
60 × 1200
64 × 1125
72 × 1000
75 × 960
80 × 900
90 × 800
96 × 750
100 × 720
120 × 600
125 × 576
144 × 500
150 × 480
160 × 450
180 × 400
192 × 375
200 × 360
225 × 320
240 × 300
250 × 288
First multiples
72,000 · 144,000 (double) · 216,000 · 288,000 · 360,000 · 432,000 · 504,000 · 576,000 · 648,000 · 720,000

Sums & aliquot sequence

As a sum of two squares: 48² + 264² = 120² + 240²
As consecutive integers: 23,999 + 24,000 + 24,001 14,398 + 14,399 + 14,400 + 14,401 + 14,402 7,996 + 7,997 + … + 8,004 4,793 + 4,794 + … + 4,807
Aliquot sequence: 72,000 185,556 320,012 378,868 392,798 280,594 140,300 182,596 139,964 127,324 98,076 151,908 202,572 341,244 521,436 759,844 569,890 — unresolved within range

Representations

In words
seventy-two thousand
Ordinal
72000th
Binary
10001100101000000
Octal
214500
Hexadecimal
0x11940
Base64
ARlA
One's complement
4,294,895,295 (32-bit)
In other bases
ternary (3) 10122202200
quaternary (4) 101211000
quinary (5) 4301000
senary (6) 1313200
septenary (7) 416625
nonary (9) 118680
undecimal (11) 4a105
duodecimal (12) 35800
tridecimal (13) 26a06
tetradecimal (14) 1c34c
pentadecimal (15) 16500

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 · ·
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼
Greek (Milesian)
͵οβ
Mayan (base 20)
𝋩·𝋠·𝋠·𝋠
Chinese
七萬二千
Chinese (financial)
柒萬貳仟
In other modern scripts
Eastern Arabic ٧٢٠٠٠ Devanagari ७२००० Bengali ৭২০০০ Tamil ௭௨௦௦௦ Thai ๗๒๐๐๐ Tibetan ༧༢༠༠༠ Khmer ៧២០០០ Lao ໗໒໐໐໐ Burmese ၇၂၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 72,000 = 9
e — Euler's number (e)
Digit 72,000 = 9
φ — Golden ratio (φ)
Digit 72,000 = 6
√2 — Pythagoras's (√2)
Digit 72,000 = 8
ln 2 — Natural log of 2
Digit 72,000 = 0
γ — Euler-Mascheroni (γ)
Digit 72,000 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 72000, here are decompositions:

  • 7 + 71993 = 72000
  • 13 + 71987 = 72000
  • 17 + 71983 = 72000
  • 29 + 71971 = 72000
  • 37 + 71963 = 72000
  • 53 + 71947 = 72000
  • 59 + 71941 = 72000
  • 67 + 71933 = 72000

Showing the first eight; more decompositions exist.

Unicode codepoint
𑥀
Dives Akuru Medial Ya
U+11940
Spacing combining mark (Mc)

UTF-8 encoding: F0 91 A5 80 (4 bytes).

Hex color
#011940
RGB(1, 25, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.25.64.

Address
0.1.25.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.25.64

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

Position in π

The digit sequence 72000 first appears in π at position 54,198 of the decimal expansion (the 54,198ordinal-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.