87775872 has 64 divisors (see below), whose sum is σ = 234640800. Its totient is φ = 29072384.

The previous prime is 87775861. The next prime is 87775901. The reversal of 87775872 is 27857778.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68098 + ... + 69374.

Almost surely, 2^87775872 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 87775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117320400).

87775872 is an abundant number, since it is smaller than the sum of its proper divisors (146864928).

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

87775872 is a wasteful number, since it uses less digits than its factorization.

87775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its digits is 1536640, while the sum is 51.

The square root of 87775872 is about 9368.8778410224. The cubic root of 87775872 is about 444.4180787322.

The spelling of 87775872 in words is "eighty-seven million, seven hundred seventy-five thousand, eight hundred seventy-two".