72593920 has 80 divisors (see below), whose sum is σ = 198969408. Its totient is φ = 24883200.

The previous prime is 72593881. The next prime is 72593923. The reversal of 72593920 is 2939527.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 72593920.

It is not an unprimeable number, because it can be changed into a prime (72593923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15895 + ... + 19945.

Almost surely, 2^72593920 is an apocalyptic number.

72593920 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 72593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99484704).

72593920 is an abundant number, since it is smaller than the sum of its proper divisors (126375488).

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

72593920 is an equidigital number, since it uses as much as digits as its factorization.

72593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 72593920 is about 8520.2065702658. The cubic root of 72593920 is about 417.1575256885.

The spelling of 72593920 in words is "seventy-two million, five hundred ninety-three thousand, nine hundred twenty".