72895628 has 48 divisors (see below), whose sum is σ = 146412000. Its totient is φ = 31477248.

The previous prime is 72895619. The next prime is 72895649. The reversal of 72895628 is 82659827.

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, 87518 + ... + 88346.

It is an arithmetic number, because the mean of its divisors is an integer number (3050250).

Almost surely, 2^72895628 is an apocalyptic number.

It is an amenable number.

72895628 is an abundant number, since it is smaller than the sum of its proper divisors (73516372).

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

72895628 is a wasteful number, since it uses less digits than its factorization.

72895628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 952 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 72895628 is about 8537.8936512468. The cubic root of 72895628 is about 417.7346438185.

The spelling of 72895628 in words is "seventy-two million, eight hundred ninety-five thousand, six hundred twenty-eight".