72598920 has 64 divisors (see below), whose sum is σ = 220890240. Its totient is φ = 19084800.

The previous prime is 72598871. The next prime is 72598927. The reversal of 72598920 is 2989527.

It is not an unprimeable number, because it can be changed into a prime (72598927) 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 15 ways as a sum of consecutive naturals, for example, 4260 + ... + 12780.

It is an arithmetic number, because the mean of its divisors is an integer number (3451410).

Almost surely, 2^72598920 is an apocalyptic number.

It is a pronic number, being equal to 8520×8521.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72598920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110445120).

72598920 is an abundant number, since it is smaller than the sum of its proper divisors (148291320).

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

72598920 is a wasteful number, since it uses less digits than its factorization.

72598920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 72598920 is about 8520.4999853295. The cubic root of 72598920 is about 417.1671028898.

The spelling of 72598920 in words is "seventy-two million, five hundred ninety-eight thousand, nine hundred twenty".