72175896 has 96 divisors (see below), whose sum is σ = 217854000. Its totient is φ = 21434112.

The previous prime is 72175861. The next prime is 72175919. The reversal of 72175896 is 69857127.

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, 25815 + ... + 28473.

Almost surely, 2^72175896 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 72175896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108927000).

72175896 is an abundant number, since it is smaller than the sum of its proper divisors (145678104).

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

72175896 is a wasteful number, since it uses less digits than its factorization.

72175896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2706 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 72175896 is about 8495.6398228738. The cubic root of 72175896 is about 416.3552654260.

The spelling of 72175896 in words is "seventy-two million, one hundred seventy-five thousand, eight hundred ninety-six".