72688304 has 40 divisors (see below), whose sum is σ = 156573312. Its totient is φ = 32463360.

The previous prime is 72688289. The next prime is 72688337. The reversal of 72688304 is 40388627.

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, 812 + ... + 12084.

Almost surely, 2^72688304 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 72688304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78286656).

72688304 is an abundant number, since it is smaller than the sum of its proper divisors (83885008).

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

72688304 is a wasteful number, since it uses less digits than its factorization.

72688304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 72688304 is about 8525.7436039327. The cubic root of 72688304 is about 417.3382384554.

The spelling of 72688304 in words is "seventy-two million, six hundred eighty-eight thousand, three hundred four".