72715313 has 12 divisors (see below), whose sum is σ = 80949120. Its totient is φ = 65259480.

The previous prime is 72715309. The next prime is 72715327. The reversal of 72715313 is 31351727.

It is not a de Polignac number, because 72715313 - 2² = 72715309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72715333) 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 11 ways as a sum of consecutive naturals, for example, 5756 + ... + 13362.

It is an arithmetic number, because the mean of its divisors is an integer number (6745760).

Almost surely, 2^72715313 is an apocalyptic number.

It is an amenable number.

72715313 is a deficient number, since it is larger than the sum of its proper divisors (8233807).

72715313 is a wasteful number, since it uses less digits than its factorization.

72715313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7708 (or 7697 counting only the distinct ones).

The product of its digits is 4410, while the sum is 29.

The square root of 72715313 is about 8527.3274242285. The cubic root of 72715313 is about 417.3899225735.

The spelling of 72715313 in words is "seventy-two million, seven hundred fifteen thousand, three hundred thirteen".