72533696 has 56 divisors (see below), whose sum is σ = 153710640. Its totient is φ = 33841152.

The previous prime is 72533677. The next prime is 72533701. The reversal of 72533696 is 69633527.

It is a super-2 number, since 2×72533696² = 10522274110840832, which contains 22 as substring.

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, 177140 + ... + 177548.

Almost surely, 2^72533696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76855320).

72533696 is an abundant number, since it is smaller than the sum of its proper divisors (81176944).

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

72533696 is a wasteful number, since it uses less digits than its factorization.

72533696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its digits is 204120, while the sum is 41.

The square root of 72533696 is about 8516.6716503573. The cubic root of 72533696 is about 417.0421356514.

The spelling of 72533696 in words is "seventy-two million, five hundred thirty-three thousand, six hundred ninety-six".