72958800 has 120 divisors (see below), whose sum is σ = 235775584. Its totient is φ = 19284480.

The previous prime is 72958777. The next prime is 72958801. The reversal of 72958800 is 885927.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72958801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195414 + ... + 195786.

Almost surely, 2^72958800 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 72958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117887792).

72958800 is an abundant number, since it is smaller than the sum of its proper divisors (162816784).

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

72958800 is a wasteful number, since it uses less digits than its factorization.

72958800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 72958800 is about 8541.5923574003. The cubic root of 72958800 is about 417.8552798306.

The spelling of 72958800 in words is "seventy-two million, nine hundred fifty-eight thousand, eight hundred".