72600 has 72 divisors (see below), whose sum is σ = 247380. Its totient is φ = 17600.

The previous prime is 72577. The next prime is 72613. The reversal of 72600 is 627.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 72600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6595 + ... + 6605.

2⁷²⁶⁰⁰ 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 72600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123690).

72600 is an abundant number, since it is smaller than the sum of its proper divisors (174780).

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

72600 is a wasteful number, since it uses less digits than its factorization.

72600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 72600 is about 269.4438717061. The cubic root of 72600 is about 41.7169171507.

The spelling of 72600 in words is "seventy-two thousand, six hundred".