72272116 has 12 divisors (see below), whose sum is σ = 144544288. Its totient is φ = 30973752.

The previous prime is 72272111. The next prime is 72272149. The reversal of 72272116 is 61127227.

72272116 is an admirable number.

It is a super-2 number, since 2×72272116² = 10446517502234912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 2581147 = 72272116 / (7 + 2 + 2 + 7 + 2 + 1 + 1 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72272111) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1290546 + ... + 1290601.

Almost surely, 2^72272116 is an apocalyptic number.

It is an amenable number.

72272116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72272116 is a wasteful number, since it uses less digits than its factorization.

72272116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581158 (or 2581156 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 72272116 is about 8501.3008416359. The cubic root of 72272116 is about 416.5402021178.

The spelling of 72272116 in words is "seventy-two million, two hundred seventy-two thousand, one hundred sixteen".