72375600 has 120 divisors (see below), whose sum is σ = 252965952. Its totient is φ = 17542400.

The previous prime is 72375553. The next prime is 72375623. The reversal of 72375600 is 657327.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10459 + ... + 15941.

Almost surely, 2^72375600 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 72375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126482976).

72375600 is an abundant number, since it is smaller than the sum of its proper divisors (180590352).

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

72375600 is a wasteful number, since it uses less digits than its factorization.

72375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515 (or 5504 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 72375600 is about 8507.3850271397. The cubic root of 72375600 is about 416.7389172487.

The spelling of 72375600 in words is "seventy-two million, three hundred seventy-five thousand, six hundred".