72502304 has 96 divisors (see below), whose sum is σ = 172440576. Its totient is φ = 29352960.

The previous prime is 72502303. The next prime is 72502319. The reversal of 72502304 is 40320527.

It is a self number, because there is not a number n which added to its sum of digits gives 72502304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72502303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367934 + ... + 368130.

It is an arithmetic number, because the mean of its divisors is an integer number (1796256).

Almost surely, 2^72502304 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 72502304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86220288).

72502304 is an abundant number, since it is smaller than the sum of its proper divisors (99938272).

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

72502304 is a wasteful number, since it uses less digits than its factorization.

72502304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 72502304 is about 8514.8284774269. The cubic root of 72502304 is about 416.9819628096.

The spelling of 72502304 in words is "seventy-two million, five hundred two thousand, three hundred four".