87732180 has 96 divisors (see below), whose sum is σ = 280385280. Its totient is φ = 22757760.

The previous prime is 87732173. The next prime is 87732181. The reversal of 87732180 is 8123778.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87732181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17785 + ... + 22175.

It is an arithmetic number, because the mean of its divisors is an integer number (2920680).

Almost surely, 2^87732180 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 87732180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140192640).

87732180 is an abundant number, since it is smaller than the sum of its proper divisors (192653100).

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

87732180 is a wasteful number, since it uses less digits than its factorization.

87732180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 87732180 is about 9366.5457880694. The cubic root of 87732180 is about 444.3443274953.

The spelling of 87732180 in words is "eighty-seven million, seven hundred thirty-two thousand, one hundred eighty".