87637072 has 40 divisors (see below), whose sum is σ = 178336800. Its totient is φ = 41661312.

The previous prime is 87637027. The next prime is 87637087. The reversal of 87637072 is 27073678.

It is a congruent number.

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, 29679 + ... + 32497.

It is an arithmetic number, because the mean of its divisors is an integer number (4458420).

Almost surely, 2^87637072 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 87637072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89168400).

87637072 is an abundant number, since it is smaller than the sum of its proper divisors (90699728).

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

87637072 is a wasteful number, since it uses less digits than its factorization.

87637072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 87637072 is about 9361.4674063418. The cubic root of 87637072 is about 444.1837023567.

The spelling of 87637072 in words is "eighty-seven million, six hundred thirty-seven thousand, seventy-two".