87637872 has 80 divisors (see below), whose sum is σ = 264070400. Its totient is φ = 25034688.

The previous prime is 87637841. The next prime is 87637883. The reversal of 87637872 is 27873678.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13803 + ... + 19125.

It is an arithmetic number, because the mean of its divisors is an integer number (3300880).

Almost surely, 2^87637872 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 87637872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132035200).

87637872 is an abundant number, since it is smaller than the sum of its proper divisors (176432528).

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

87637872 is a wasteful number, since it uses less digits than its factorization.

87637872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5335 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 87637872 is about 9361.5101345883. The cubic root of 87637872 is about 444.1850539380.

The spelling of 87637872 in words is "eighty-seven million, six hundred thirty-seven thousand, eight hundred seventy-two".