72145928 has 32 divisors (see below), whose sum is σ = 140171520. Its totient is φ = 34776000.

The previous prime is 72145903. The next prime is 72145933. The reversal of 72145928 is 82954127.

It is a junction number, because it is equal to n+sod(n) for n = 72145891 and 72145900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104063 + ... + 104753.

It is an arithmetic number, because the mean of its divisors is an integer number (4380360).

Almost surely, 2^72145928 is an apocalyptic number.

It is an amenable number.

72145928 is a deficient number, since it is larger than the sum of its proper divisors (68025592).

72145928 is a wasteful number, since it uses less digits than its factorization.

72145928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 72145928 is about 8493.8759115024. The cubic root of 72145928 is about 416.2976327879.

The spelling of 72145928 in words is "seventy-two million, one hundred forty-five thousand, nine hundred twenty-eight".