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72382956 = 22329207997
BaseRepresentation
bin1000101000001…
…11100111101100
312001012102202020
410110013213230
5122012223311
611103230140
71536150012
oct424074754
9161172666
1072382956
1137949428
12202a8350
1311cc4369
1498828b2
15654bc06
hex45079ec

72382956 has 24 divisors (see below), whose sum is σ = 174718320. Its totient is φ = 23295552.

The previous prime is 72382943. The next prime is 72382987. The reversal of 72382956 is 65928327.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103651 + ... + 104346.

It is an arithmetic number, because the mean of its divisors is an integer number (7279930).

Almost surely, 272382956 is an apocalyptic number.

It is an amenable number.

72382956 is an abundant number, since it is smaller than the sum of its proper divisors (102335364).

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

72382956 is a wasteful number, since it uses less digits than its factorization.

72382956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208033 (or 208031 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 72382956 is about 8507.8173464174. The cubic root of 72382956 is about 416.7530353936.

The spelling of 72382956 in words is "seventy-two million, three hundred eighty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 207997 415994 623991 831988 1247982 2495964 6031913 12063826 18095739 24127652 36191478 72382956