72563628 has 48 divisors (see below), whose sum is σ = 173900160. Its totient is φ = 23541504.

The previous prime is 72563611. The next prime is 72563669. The reversal of 72563628 is 82636527.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79551 + ... + 80457.

It is an arithmetic number, because the mean of its divisors is an integer number (3622920).

Almost surely, 2^72563628 is an apocalyptic number.

It is an amenable number.

72563628 is an abundant number, since it is smaller than the sum of its proper divisors (101336532).

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

72563628 is a wasteful number, since it uses less digits than its factorization.

72563628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1084 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 72563628 is about 8518.4287283513. The cubic root of 72563628 is about 417.0994937678.

The spelling of 72563628 in words is "seventy-two million, five hundred sixty-three thousand, six hundred twenty-eight".