76502272 has 72 divisors (see below), whose sum is σ = 190435392. Its totient is φ = 29798400.

The previous prime is 76502249. The next prime is 76502281. The reversal of 76502272 is 27220567.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 17772 + ... + 21652.

It is an arithmetic number, because the mean of its divisors is an integer number (2644936).

Almost surely, 2^76502272 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 76502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95217696).

76502272 is an abundant number, since it is smaller than the sum of its proper divisors (113933120).

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

76502272 is a wasteful number, since it uses less digits than its factorization.

76502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 76502272 is about 8746.5577228988. The cubic root of 76502272 is about 424.5134399461.

The spelling of 76502272 in words is "seventy-six million, five hundred two thousand, two hundred seventy-two".