72513800 has 24 divisors (see below), whose sum is σ = 168595050. Its totient is φ = 29005440.

The previous prime is 72513799. The next prime is 72513817. The reversal of 72513800 is 831527.

It can be written as a sum of positive squares in 3 ways, for example, as 43375396 + 29138404 = 6586^2 + 5398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72513800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181085 + ... + 181484.

Almost surely, 2^72513800 is an apocalyptic number.

It is an amenable number.

72513800 is an abundant number, since it is smaller than the sum of its proper divisors (96081250).

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

72513800 is a wasteful number, since it uses less digits than its factorization.

72513800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362585 (or 362576 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 72513800 is about 8515.5035083077. The cubic root of 72513800 is about 417.0040005980.

The spelling of 72513800 in words is "seventy-two million, five hundred thirteen thousand, eight hundred".