72409304 has 96 divisors (see below), whose sum is σ = 163430400. Its totient is φ = 29937600.

The previous prime is 72409297. The next prime is 72409319. The reversal of 72409304 is 40390427.

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, 570089 + ... + 570215.

It is an arithmetic number, because the mean of its divisors is an integer number (1702400).

Almost surely, 2^72409304 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 72409304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81715200).

72409304 is an abundant number, since it is smaller than the sum of its proper divisors (91021096).

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

72409304 is a wasteful number, since it uses less digits than its factorization.

72409304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 72409304 is about 8509.3656637848. The cubic root of 72409304 is about 416.8035964534.

The spelling of 72409304 in words is "seventy-two million, four hundred nine thousand, three hundred four".