72317971 has 16 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 61970400.

The previous prime is 72317963. The next prime is 72317989. The reversal of 72317971 is 17971327.

It is not a de Polignac number, because 72317971 - 2³ = 72317963 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72317971.

It is not an unprimeable number, because it can be changed into a prime (72317951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47106 + ... + 48616.

It is an arithmetic number, because the mean of its divisors is an integer number (5216400).

Almost surely, 2^72317971 is an apocalyptic number.

72317971 is a deficient number, since it is larger than the sum of its proper divisors (11144429).

72317971 is a wasteful number, since it uses less digits than its factorization.

72317971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770.

The product of its digits is 18522, while the sum is 37.

The square root of 72317971 is about 8503.9973541859. The cubic root of 72317971 is about 416.6282785611.

The spelling of 72317971 in words is "seventy-two million, three hundred seventeen thousand, nine hundred seventy-one".