72561936 has 40 divisors (see below), whose sum is σ = 187817344. Its totient is φ = 24140160.

The previous prime is 72561911. The next prime is 72561977. The reversal of 72561936 is 63916527.

It is a junction number, because it is equal to n+sod(n) for n = 72561894 and 72561903.

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, 30585 + ... + 32871.

Almost surely, 2^72561936 is an apocalyptic number.

It is an amenable number.

72561936 is an abundant number, since it is smaller than the sum of its proper divisors (115255408).

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

72561936 is a wasteful number, since it uses less digits than its factorization.

72561936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2953 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 72561936 is about 8518.3294136820. The cubic root of 72561936 is about 417.0962518414.

The spelling of 72561936 in words is "seventy-two million, five hundred sixty-one thousand, nine hundred thirty-six".