72592007472 has 120 divisors (see below), whose sum is σ = 207081388800. Its totient is φ = 23731807104.

The previous prime is 72592007407. The next prime is 72592007483. The reversal of 72592007472 is 27470029527.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3720013 + ... + 3739475.

It is an arithmetic number, because the mean of its divisors is an integer number (1725678240).

Almost surely, 2^72592007472 is an apocalyptic number.

72592007472 is a gapful number since it is divisible by the number (72) 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 72592007472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103540694400).

72592007472 is an abundant number, since it is smaller than the sum of its proper divisors (134489381328).

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

72592007472 is a wasteful number, since it uses less digits than its factorization.

72592007472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19975 (or 19966 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 72592007472 in words is "seventy-two billion, five hundred ninety-two million, seven thousand, four hundred seventy-two".