87732 has 18 divisors (see below), whose sum is σ = 221858. Its totient is φ = 29232.

The previous prime is 87721. The next prime is 87739. The reversal of 87732 is 23778.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 1296 = 294^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 87696 and 87705.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87732.

It is not an unprimeable number, because it can be changed into a prime (87739) by changing a digit.

87732 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1183 + ... + 1254.

2⁸⁷⁷³² is an apocalyptic number.

It is an amenable number.

87732 is an abundant number, since it is smaller than the sum of its proper divisors (134126).

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

87732 is a wasteful number, since it uses less digits than its factorization.

87732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2442 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 87732 is about 296.1958811327. The cubic root of 87732 is about 44.4344023608.

It can be divided in two parts, 877 and 32, that added together give a palindrome (909).

The spelling of 87732 in words is "eighty-seven thousand, seven hundred thirty-two".