72475900 has 72 divisors (see below), whose sum is σ = 183495200. Its totient is φ = 24837120.

The previous prime is 72475891. The next prime is 72475951. The reversal of 72475900 is 957427.

It is a congruent number.

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, 33244 + ... + 35356.

Almost surely, 2^72475900 is an apocalyptic number.

72475900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72475900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91747600).

72475900 is an abundant number, since it is smaller than the sum of its proper divisors (111019300).

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

72475900 is a wasteful number, since it uses less digits than its factorization.

72475900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72475900 is about 8513.2778646066. The cubic root of 72475900 is about 416.9313376205.

The spelling of 72475900 in words is "seventy-two million, four hundred seventy-five thousand, nine hundred".