72313920 has 336 divisors, whose sum is σ = 302410368. Its totient is φ = 15482880.

The previous prime is 72313919. The next prime is 72313921. The reversal of 72313920 is 2931327.

It is an interprime number because it is at equal distance from previous prime (72313919) and next prime (72313921).

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (72313921) 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 47 ways as a sum of consecutive naturals, for example, 342615 + ... + 342825.

Almost surely, 2^72313920 is an apocalyptic number.

72313920 is a gapful number since it is divisible by the number (70) 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 72313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151205184).

72313920 is an abundant number, since it is smaller than the sum of its proper divisors (230096448).

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

72313920 is a wasteful number, since it uses less digits than its factorization.

72313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 72313920 is about 8503.7591687441. The cubic root of 72313920 is about 416.6204990625.

The spelling of 72313920 in words is "seventy-two million, three hundred thirteen thousand, nine hundred twenty".