72720512 has 32 divisors (see below), whose sum is σ = 146391420. Its totient is φ = 35979264.

The previous prime is 72720497. The next prime is 72720541. The reversal of 72720512 is 21502727.

It can be written as a sum of positive squares in 2 ways, for example, as 68293696 + 4426816 = 8264^2 + 2104^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9488 + ... + 15344.

Almost surely, 2^72720512 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 72720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73195710).

72720512 is an abundant number, since it is smaller than the sum of its proper divisors (73670908).

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

72720512 is an equidigital number, since it uses as much as digits as its factorization.

72720512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5968 (or 5956 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 72720512 is about 8527.6322622402. The cubic root of 72720512 is about 417.3998698524.

The spelling of 72720512 in words is "seventy-two million, seven hundred twenty thousand, five hundred twelve".