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73,728

73,728 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 Evil Number Pernicious Number Powerful Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
27
Digit product
2,352
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
82,737
Recamán's sequence
a(19,475) = 73,728
Square (n²)
5,435,817,984
Cube (n³)
400,771,988,324,352
Divisor count
42
σ(n) — sum of divisors
212,979
φ(n) — Euler's totient
24,576
Sum of prime factors
32

Primality

Prime factorization: 2 13 × 3 2

Nearest primes: 73,727 (−1) · 73,751 (+23)

Divisors & multiples

All divisors (42)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 128 · 144 · 192 · 256 · 288 · 384 · 512 · 576 · 768 · 1024 · 1152 · 1536 · 2048 · 2304 · 3072 · 4096 · 4608 · 6144 · 8192 · 9216 · 12288 · 18432 · 24576 · 36864 (half) · 73728
Aliquot sum (sum of proper divisors): 139,251
Factor pairs (a × b = 73,728)
1 × 73728
2 × 36864
3 × 24576
4 × 18432
6 × 12288
8 × 9216
9 × 8192
12 × 6144
16 × 4608
18 × 4096
24 × 3072
32 × 2304
36 × 2048
48 × 1536
64 × 1152
72 × 1024
96 × 768
128 × 576
144 × 512
192 × 384
256 × 288
First multiples
73,728 · 147,456 (double) · 221,184 · 294,912 · 368,640 · 442,368 · 516,096 · 589,824 · 663,552 · 737,280

Sums & aliquot sequence

As a sum of two squares: 192² + 192²
As consecutive integers: 24,575 + 24,576 + 24,577 8,188 + 8,189 + … + 8,196
Aliquot sequence: 73,728 139,251 84,749 12,115 2,429 355 77 19 1 0 — terminates at zero

Representations

In words
seventy-three thousand seven hundred twenty-eight
Ordinal
73728th
Binary
10010000000000000
Octal
220000
Hexadecimal
0x12000
Base64
ASAA
One's complement
4,294,893,567 (32-bit)
In other bases
ternary (3) 10202010200
quaternary (4) 102000000
quinary (5) 4324403
senary (6) 1325200
septenary (7) 424644
nonary (9) 122120
undecimal (11) 50436
duodecimal (12) 36800
tridecimal (13) 27735
tetradecimal (14) 1cc24
pentadecimal (15) 16ca3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ογψκηʹ
Mayan (base 20)
𝋩·𝋤·𝋦·𝋨
Chinese
七萬三千七百二十八
Chinese (financial)
柒萬參仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ٧٣٧٢٨ Devanagari ७३७२८ Bengali ৭৩৭২৮ Tamil ௭௩௭௨௮ Thai ๗๓๗๒๘ Tibetan ༧༣༧༢༨ Khmer ៧៣៧២៨ Lao ໗໓໗໒໘ Burmese ၇၃၇၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 73,728 = 1
e — Euler's number (e)
Digit 73,728 = 8
φ — Golden ratio (φ)
Digit 73,728 = 9
√2 — Pythagoras's (√2)
Digit 73,728 = 1
ln 2 — Natural log of 2
Digit 73,728 = 4
γ — Euler-Mascheroni (γ)
Digit 73,728 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 73728, here are decompositions:

  • 7 + 73721 = 73728
  • 19 + 73709 = 73728
  • 29 + 73699 = 73728
  • 47 + 73681 = 73728
  • 131 + 73597 = 73728
  • 139 + 73589 = 73728
  • 157 + 73571 = 73728
  • 167 + 73561 = 73728

Showing the first eight; more decompositions exist.

Unicode codepoint
𒀀
Cuneiform Sign A
U+12000
Other letter (Lo)

UTF-8 encoding: F0 92 80 80 (4 bytes).

Hex color
#012000
RGB(1, 32, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.32.0.

Address
0.1.32.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.32.0

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

Position in π

The digit sequence 73728 first appears in π at position 168,852 of the decimal expansion (the 168,852ordinal-suffix:nd 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.