72772116 has 48 divisors (see below), whose sum is σ = 173530560. Its totient is φ = 23731200.

The previous prime is 72772099. The next prime is 72772123. The reversal of 72772116 is 61127727.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117255 + ... + 117873.

It is an arithmetic number, because the mean of its divisors is an integer number (3615220).

Almost surely, 2^72772116 is an apocalyptic number.

It is an amenable number.

72772116 is an abundant number, since it is smaller than the sum of its proper divisors (100758444).

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

72772116 is a wasteful number, since it uses less digits than its factorization.

72772116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 822 counting only the distinct ones).

The product of its digits is 8232, while the sum is 33.

The square root of 72772116 is about 8530.6574189801. The cubic root of 72772116 is about 417.4985784072.

The spelling of 72772116 in words is "seventy-two million, seven hundred seventy-two thousand, one hundred sixteen".