72617167 has 12 divisors (see below), whose sum is σ = 85666896. Its totient is φ = 61363680.

The previous prime is 72617161. The next prime is 72617177. The reversal of 72617167 is 76171627.

It is a de Polignac number, because none of the positive numbers 2^k-72617167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72617161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6958 + ... + 13915.

It is an arithmetic number, because the mean of its divisors is an integer number (7138908).

Almost surely, 2^72617167 is an apocalyptic number.

72617167 is the 6958-th pentagonal number.

72617167 is a deficient number, since it is larger than the sum of its proper divisors (13049729).

72617167 is a wasteful number, since it uses less digits than its factorization.

72617167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20958 (or 20951 counting only the distinct ones).

The product of its digits is 24696, while the sum is 37.

The square root of 72617167 is about 8521.5706885527. The cubic root of 72617167 is about 417.2020501979.

The spelling of 72617167 in words is "seventy-two million, six hundred seventeen thousand, one hundred sixty-seven".