72917163 has 24 divisors (see below), whose sum is σ = 117351936. Its totient is φ = 43249200.

The previous prime is 72917129. The next prime is 72917171. The reversal of 72917163 is 36171927.

It is a happy number.

It is not a de Polignac number, because 72917163 - 2¹⁰ = 72916139 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72917113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3183 + ... + 12488.

It is an arithmetic number, because the mean of its divisors is an integer number (4889664).

Almost surely, 2^72917163 is an apocalyptic number.

72917163 is a deficient number, since it is larger than the sum of its proper divisors (44434773).

72917163 is a wasteful number, since it uses less digits than its factorization.

72917163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15735 (or 15732 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 72917163 is about 8539.1547005544. The cubic root of 72917163 is about 417.7757758228.

The spelling of 72917163 in words is "seventy-two million, nine hundred seventeen thousand, one hundred sixty-three".