72313696 has 96 divisors (see below), whose sum is σ = 184584960. Its totient is φ = 27081216.

The previous prime is 72313693. The next prime is 72313697. The reversal of 72313696 is 69631327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72313693) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54675 + ... + 55981.

It is an arithmetic number, because the mean of its divisors is an integer number (1922760).

Almost surely, 2^72313696 is an apocalyptic number.

72313696 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72313696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92292480).

72313696 is an abundant number, since it is smaller than the sum of its proper divisors (112271264).

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

72313696 is a wasteful number, since it uses less digits than its factorization.

72313696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1348 counting only the distinct ones).

The product of its digits is 40824, while the sum is 37.

The square root of 72313696 is about 8503.7459980881. The cubic root of 72313696 is about 416.6200688867.

The spelling of 72313696 in words is "seventy-two million, three hundred thirteen thousand, six hundred ninety-six".