72715314 has 64 divisors (see below), whose sum is σ = 171936000. Its totient is φ = 20490624.

The previous prime is 72715309. The next prime is 72715327. The reversal of 72715314 is 41351727.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 182964 + ... + 183360.

It is an arithmetic number, because the mean of its divisors is an integer number (2686500).

Almost surely, 2^72715314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72715314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85968000).

72715314 is an abundant number, since it is smaller than the sum of its proper divisors (99220686).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72715314 is a wasteful number, since it uses less digits than its factorization.

72715314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 498 counting only the distinct ones).

The product of its digits is 5880, while the sum is 30.

The square root of 72715314 is about 8527.3274828635. The cubic root of 72715314 is about 417.3899244869.

The spelling of 72715314 in words is "seventy-two million, seven hundred fifteen thousand, three hundred fourteen".