87432 has 16 divisors (see below), whose sum is σ = 218640. Its totient is φ = 29136.

The previous prime is 87427. The next prime is 87433. The reversal of 87432 is 23478.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3643 = 87432 / (8 + 7 + 4 + 3 + 2).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87433) by changing a digit.

87432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1798 + ... + 1845.

It is an arithmetic number, because the mean of its divisors is an integer number (13665).

2⁸⁷⁴³² is an apocalyptic number.

It is an amenable number.

87432 is an abundant number, since it is smaller than the sum of its proper divisors (131208).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109320).

87432 is a wasteful number, since it uses less digits than its factorization.

87432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3648 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 87432 is about 295.6890258363. The cubic root of 87432 is about 44.3836966358.

The spelling of 87432 in words is "eighty-seven thousand, four hundred thirty-two".