72165700 has 36 divisors (see below), whose sum is σ = 158951632. Its totient is φ = 28432800.

The previous prime is 72165689. The next prime is 72165713. The reversal of 72165700 is 756127.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315 + ... + 12085.

Almost surely, 2^72165700 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 72165700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79475816).

72165700 is an abundant number, since it is smaller than the sum of its proper divisors (86785932).

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

72165700 is a wasteful number, since it uses less digits than its factorization.

72165700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10852 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 72165700 is about 8495.0397291596. The cubic root of 72165700 is about 416.3356588887.

The spelling of 72165700 in words is "seventy-two million, one hundred sixty-five thousand, seven hundred".