87175872 has 112 divisors (see below), whose sum is σ = 292933120. Its totient is φ = 24903936.

The previous prime is 87175871. The next prime is 87175897. The reversal of 87175872 is 27857178.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (87175871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8493 + ... + 15699.

Almost surely, 2^87175872 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 87175872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146466560).

87175872 is an abundant number, since it is smaller than the sum of its proper divisors (205757248).

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

87175872 is a wasteful number, since it uses less digits than its factorization.

87175872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7219 counting only the distinct ones).

The product of its digits is 219520, while the sum is 45.

The square root of 87175872 is about 9336.8020221059. The cubic root of 87175872 is about 443.4031425048.

The spelling of 87175872 in words is "eighty-seven million, one hundred seventy-five thousand, eight hundred seventy-two".