72856574668800 has 1560 divisors, whose sum is σ = 292789174998320. Its totient is φ = 17801242214400.

The previous prime is 72856574668789. The next prime is 72856574668817. The reversal of 72856574668800 is 886647565827.

72856574668800 is a `hidden beast` number, since 7 + 2 + 85 + 6 + 5 + 7 + 466 + 8 + 80 + 0 = 666.

72856574668800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14987978370 + ... + 14987983230.

Almost surely, 2^{72856574668800} 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 72856574668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146394587499160).

72856574668800 is an abundant number, since it is smaller than the sum of its proper divisors (219932600329520).

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

72856574668800 is a wasteful number, since it uses less digits than its factorization.

72856574668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 72856574668800 in words is "seventy-two trillion, eight hundred fifty-six billion, five hundred seventy-four million, six hundred sixty-eight thousand, eight hundred".