77225272 has 32 divisors (see below), whose sum is σ = 154713600. Its totient is φ = 36029664.

The previous prime is 77225257. The next prime is 77225299. The reversal of 77225272 is 27252277.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6393 + ... + 13975.

It is an arithmetic number, because the mean of its divisors is an integer number (4834800).

Almost surely, 2^77225272 is an apocalyptic number.

It is an amenable number.

77225272 is an abundant number, since it is smaller than the sum of its proper divisors (77488328).

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

77225272 is a wasteful number, since it uses less digits than its factorization.

77225272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7675 (or 7671 counting only the distinct ones).

The product of its digits is 27440, while the sum is 34.

The square root of 77225272 is about 8787.7910762603. The cubic root of 77225272 is about 425.8465654168.

The spelling of 77225272 in words is "seventy-seven million, two hundred twenty-five thousand, two hundred seventy-two".