72039420 has 72 divisors (see below), whose sum is σ = 219243024. Its totient is φ = 19147008.

The previous prime is 72039397. The next prime is 72039433. The reversal of 72039420 is 2493027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83632 + ... + 84488.

It is an arithmetic number, because the mean of its divisors is an integer number (3045042).

Almost surely, 2^72039420 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 72039420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109621512).

72039420 is an abundant number, since it is smaller than the sum of its proper divisors (147203604).

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

72039420 is a wasteful number, since it uses less digits than its factorization.

72039420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72039420 is about 8487.6039021623. The cubic root of 72039420 is about 416.0926738182.

The spelling of 72039420 in words is "seventy-two million, thirty-nine thousand, four hundred twenty".