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72864364356 = 22327264272
BaseRepresentation
bin100001111011100001…
…1011111011101000100
320222002001011020002100
41003313003133131010
52143211234124411
653250132112100
75156434610100
oct1036703373504
9228061136070
1072864364356
11289a1041443
1212156165630
136b429bc1c4
1437531d2900
151d66d11456
hex10f70df744

72864364356 has 81 divisors (see below), whose sum is σ = 214289270559. Its totient is φ = 20815150608.

The previous prime is 72864364337. The next prime is 72864364361. The reversal of 72864364356 is 65346346827.

The square root of 72864364356 is 269934.

It is a perfect power (a square), and thus also a powerful number.

72864364356 is a `hidden beast` number, since 7 + 286 + 4 + 3 + 6 + 4 + 356 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11334015 + ... + 11340441.

Almost surely, 272864364356 is an apocalyptic number.

72864364356 is the 269934-th square number.

It is an amenable number.

72864364356 is an abundant number, since it is smaller than the sum of its proper divisors (141424906203).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72864364356 is an equidigital number, since it uses as much as digits as its factorization.

72864364356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12878 (or 6439 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 72864364356 in words is "seventy-two billion, eight hundred sixty-four million, three hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 6427 12854 19281 25708 38562 44989 57843 77124 89978 115686 134967 179956 231372 269934 314923 404901 539868 629846 809802 944769 1259692 1619604 1889538 2834307 3779076 5668614 11337228 41306329 82612658 123918987 165225316 247837974 289144303 371756961 495675948 578288606 743513922 867432909 1156577212 1487027844 1734865818 2024010121 2602298727 3469731636 4048020242 5204597454 6072030363 8096040484 10409194908 12144060726 18216091089 24288121452 36432182178 72864364356