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72387056 = 247719103
BaseRepresentation
bin1000101000010…
…00100111110000
312001012122101002
410110020213300
5122012341211
611103301132
71536164660
oct424104760
9161178332
1072387056
1137951515
12202aa7a8
1311cc61a1
1498841a0
15654d03b
hex45089f0

72387056 has 40 divisors (see below), whose sum is σ = 162561024. Its totient is φ = 30582720.

The previous prime is 72387047. The next prime is 72387067. The reversal of 72387056 is 65078327.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3401 + ... + 12503.

Almost surely, 272387056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72387056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81280512).

72387056 is an abundant number, since it is smaller than the sum of its proper divisors (90173968).

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

72387056 is a wasteful number, since it uses less digits than its factorization.

72387056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 72387056 is about 8508.0582978727. The cubic root of 72387056 is about 416.7609039826.

The spelling of 72387056 in words is "seventy-two million, three hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952 9103 18206 36412 63721 72824 127442 145648 254884 509768 646313 1019536 1292626 2585252 4524191 5170504 9048382 10341008 18096764 36193528 72387056