72318316 has 36 divisors (see below), whose sum is σ = 147926856. Its totient is φ = 30844800.

The previous prime is 72318287. The next prime is 72318317. The reversal of 72318316 is 61381327.

It is a super-3 number, since 3×72318316³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72318317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46471 + ... + 48001.

Almost surely, 2^72318316 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 72318316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73963428).

72318316 is an abundant number, since it is smaller than the sum of its proper divisors (75608540).

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

72318316 is a wasteful number, since it uses less digits than its factorization.

72318316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1781 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 72318316 is about 8504.0176387399. The cubic root of 72318316 is about 416.6289410822.

The spelling of 72318316 in words is "seventy-two million, three hundred eighteen thousand, three hundred sixteen".