72856016930592 has 144 divisors (see below), whose sum is σ = 237140277296832. Its totient is φ = 20784512770560.

The previous prime is 72856016930591. The next prime is 72856016930623. The reversal of 72856016930592 is 29503961065827.

72856016930592 is a `hidden beast` number, since 7 + 2 + 8 + 5 + 6 + 0 + 1 + 6 + 9 + 30 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72856016930591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26003958 + ... + 28669109.

It is an arithmetic number, because the mean of its divisors is an integer number (1646807481228).

Almost surely, 2^{72856016930592} is an apocalyptic number.

72856016930592 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72856016930592 is an abundant number, since it is smaller than the sum of its proper divisors (164284260366240).

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

72856016930592 is a wasteful number, since it uses less digits than its factorization.

72856016930592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54673751 (or 54673740 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 72856016930592 in words is "seventy-two trillion, eight hundred fifty-six billion, sixteen million, nine hundred thirty thousand, five hundred ninety-two".