72167116 has 12 divisors (see below), whose sum is σ = 144334288. Its totient is φ = 30928752.

The previous prime is 72167099. The next prime is 72167119. The reversal of 72167116 is 61176127.

72167116 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (72167119) 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, 1288671 + ... + 1288726.

Almost surely, 2^72167116 is an apocalyptic number.

It is an amenable number.

72167116 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.

72167116 is a wasteful number, since it uses less digits than its factorization.

72167116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577408 (or 2577406 counting only the distinct ones).

The product of its digits is 3528, while the sum is 31.

The square root of 72167116 is about 8495.1230715040. The cubic root of 72167116 is about 416.3383819156.

The spelling of 72167116 in words is "seventy-two million, one hundred sixty-seven thousand, one hundred sixteen".