72187304 has 64 divisors (see below), whose sum is σ = 165058560. Its totient is φ = 28892160.

The previous prime is 72187279. The next prime is 72187331. The reversal of 72187304 is 40378127.

It is a happy number.

It is a super-3 number, since 3×72187304³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181634 + ... + 182030.

It is an arithmetic number, because the mean of its divisors is an integer number (2579040).

Almost surely, 2^72187304 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 72187304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82529280).

72187304 is an abundant number, since it is smaller than the sum of its proper divisors (92871256).

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

72187304 is a wasteful number, since it uses less digits than its factorization.

72187304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 72187304 is about 8496.3111995736. The cubic root of 72187304 is about 416.3772004066.

The spelling of 72187304 in words is "seventy-two million, one hundred eighty-seven thousand, three hundred four".