72164157 has 16 divisors (see below), whose sum is σ = 104203008. Its totient is φ = 44159040.

The previous prime is 72164153. The next prime is 72164161. The reversal of 72164157 is 75146127.

It is an interprime number because it is at equal distance from previous prime (72164153) and next prime (72164161).

It is not a de Polignac number, because 72164157 - 2² = 72164153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164153) 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 15 ways as a sum of consecutive naturals, for example, 1948 + ... + 12170.

It is an arithmetic number, because the mean of its divisors is an integer number (6512688).

Almost surely, 2^72164157 is an apocalyptic number.

It is an amenable number.

72164157 is a deficient number, since it is larger than the sum of its proper divisors (32038851).

72164157 is a wasteful number, since it uses less digits than its factorization.

72164157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420.

The product of its digits is 11760, while the sum is 33.

The square root of 72164157 is about 8494.9489109706. The cubic root of 72164157 is about 416.3326915949.

The spelling of 72164157 in words is "seventy-two million, one hundred sixty-four thousand, one hundred fifty-seven".