72656793 has 48 divisors (see below), whose sum is σ = 126562176. Its totient is φ = 39621120.

The previous prime is 72656791. The next prime is 72656807. The reversal of 72656793 is 39765627.

It is not a de Polignac number, because 72656793 - 2¹ = 72656791 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72656791) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 37771 + ... + 39647.

It is an arithmetic number, because the mean of its divisors is an integer number (2636712).

Almost surely, 2^72656793 is an apocalyptic number.

It is an amenable number.

72656793 is a deficient number, since it is larger than the sum of its proper divisors (53905383).

72656793 is a wasteful number, since it uses less digits than its factorization.

72656793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1931 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 72656793 is about 8523.8954123100. The cubic root of 72656793 is about 417.2779231764.

The spelling of 72656793 in words is "seventy-two million, six hundred fifty-six thousand, seven hundred ninety-three".