72928644 has 24 divisors (see below), whose sum is σ = 172565568. Its totient is φ = 23966880.

The previous prime is 72928637. The next prime is 72928651. The reversal of 72928644 is 44682927.

It is an interprime number because it is at equal distance from previous prime (72928637) and next prime (72928651).

It is a junction number, because it is equal to n+sod(n) for n = 72928596 and 72928605.

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, 41947 + ... + 43650.

It is an arithmetic number, because the mean of its divisors is an integer number (7190232).

Almost surely, 2^72928644 is an apocalyptic number.

It is an amenable number.

72928644 is an abundant number, since it is smaller than the sum of its proper divisors (99636924).

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

72928644 is a wasteful number, since it uses less digits than its factorization.

72928644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85675 (or 85673 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 72928644 is about 8539.8269303306. The cubic root of 72928644 is about 417.7977013053.

The spelling of 72928644 in words is "seventy-two million, nine hundred twenty-eight thousand, six hundred forty-four".