72874575600 has 240 divisors, whose sum is σ = 243760648320. Its totient is φ = 18586803200.

The previous prime is 72874575581. The next prime is 72874575623. The reversal of 72874575600 is 657547827.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3713815 + ... + 3733385.

It is an arithmetic number, because the mean of its divisors is an integer number (1015669368).

Almost surely, 2^72874575600 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 72874575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121880324160).

72874575600 is an abundant number, since it is smaller than the sum of its proper divisors (170886072720).

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

72874575600 is a wasteful number, since it uses less digits than its factorization.

72874575600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19728 (or 19717 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 51.

The spelling of 72874575600 in words is "seventy-two billion, eight hundred seventy-four million, five hundred seventy-five thousand, six hundred".