87583672 has 48 divisors (see below), whose sum is σ = 181896120. Its totient is φ = 39504960.

The previous prime is 87583633. The next prime is 87583687. The reversal of 87583672 is 27638578.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167203 + ... + 167725.

Almost surely, 2^87583672 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 87583672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90948060).

87583672 is an abundant number, since it is smaller than the sum of its proper divisors (94312448).

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

87583672 is a wasteful number, since it uses less digits than its factorization.

87583672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 709 counting only the distinct ones).

The product of its digits is 564480, while the sum is 46.

The square root of 87583672 is about 9358.6148547742. The cubic root of 87583672 is about 444.0934657006.

The spelling of 87583672 in words is "eighty-seven million, five hundred eighty-three thousand, six hundred seventy-two".