72956316 has 72 divisors (see below), whose sum is σ = 183438640. Its totient is φ = 22560768.

The previous prime is 72956291. The next prime is 72956321. The reversal of 72956316 is 61365927.

Its product of digits (68040) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 377916 + ... + 378108.

Almost surely, 2^72956316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72956316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91719320).

72956316 is an abundant number, since it is smaller than the sum of its proper divisors (110482324).

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

72956316 is a wasteful number, since it uses less digits than its factorization.

72956316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 72956316 is about 8541.4469500197. The cubic root of 72956316 is about 417.8505375911.

The spelling of 72956316 in words is "seventy-two million, nine hundred fifty-six thousand, three hundred sixteen".