72868928 has 56 divisors (see below), whose sum is σ = 159654240. Its totient is φ = 32721920.

The previous prime is 72868903. The next prime is 72868963. The reversal of 72868928 is 82986827.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62075 + ... + 63237.

Almost surely, 2^72868928 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 72868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827120).

72868928 is an abundant number, since it is smaller than the sum of its proper divisors (86785312).

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

72868928 is a wasteful number, since it uses less digits than its factorization.

72868928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1265 counting only the distinct ones).

The product of its digits is 774144, while the sum is 50.

The square root of 72868928 is about 8536.3298905326. The cubic root of 72868928 is about 417.6836353775.

The spelling of 72868928 in words is "seventy-two million, eight hundred sixty-eight thousand, nine hundred twenty-eight".