72816252 has 24 divisors (see below), whose sum is σ = 177292416. Its totient is φ = 23216688.

The previous prime is 72816221. The next prime is 72816257. The reversal of 72816252 is 25261827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72816257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131638 + ... + 132189.

It is an arithmetic number, because the mean of its divisors is an integer number (7387184).

Almost surely, 2^72816252 is an apocalyptic number.

It is an amenable number.

72816252 is an abundant number, since it is smaller than the sum of its proper divisors (104476164).

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

72816252 is a wasteful number, since it uses less digits than its factorization.

72816252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263857 (or 263855 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 72816252 is about 8533.2439318233. The cubic root of 72816252 is about 417.5829650939.

The spelling of 72816252 in words is "seventy-two million, eight hundred sixteen thousand, two hundred fifty-two".