72513720 has 96 divisors (see below), whose sum is σ = 239073120. Its totient is φ = 19057920.

The previous prime is 72513719. The next prime is 72513739. The reversal of 72513720 is 2731527.

It is a congruent number.

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, 24142 + ... + 26978.

It is an arithmetic number, because the mean of its divisors is an integer number (2490345).

Almost surely, 2^72513720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72513720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119536560).

72513720 is an abundant number, since it is smaller than the sum of its proper divisors (166559400).

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

72513720 is a wasteful number, since it uses less digits than its factorization.

72513720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72513720 is about 8515.4988109916. The cubic root of 72513720 is about 417.0038472464.

The spelling of 72513720 in words is "seventy-two million, five hundred thirteen thousand, seven hundred twenty".