72032880 has 40 divisors (see below), whose sum is σ = 223302672. Its totient is φ = 19208704.

The previous prime is 72032813. The next prime is 72032903. The reversal of 72032880 is 8823027.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 149829 + ... + 150308.

Almost surely, 2^72032880 is an apocalyptic number.

It is an amenable number.

72032880 is an abundant number, since it is smaller than the sum of its proper divisors (151269792).

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

72032880 is a wasteful number, since it uses less digits than its factorization.

72032880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300153 (or 300147 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 72032880 is about 8487.2186256747. The cubic root of 72032880 is about 416.0800819694.

The spelling of 72032880 in words is "seventy-two million, thirty-two thousand, eight hundred eighty".