87232 has 28 divisors (see below), whose sum is σ = 182880. Its totient is φ = 41216.

The previous prime is 87223. The next prime is 87251. The reversal of 87232 is 23278.

It is a happy number.

87232 is nontrivially palindromic in base 7.

It is a d-powerful number, because it can be written as 8² + 7⁵ + 2¹² + 3⁶ + 2¹⁶ .

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

It is an unprimeable number.

87232 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 3 ways as a sum of consecutive naturals, for example, 1833 + ... + 1879.

2⁸⁷²³² 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 87232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

87232 is an abundant number, since it is smaller than the sum of its proper divisors (95648).

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

87232 is a wasteful number, since it uses less digits than its factorization.

87232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 78 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 87232 is about 295.3506390716. The cubic root of 87232 is about 44.3498283479.

The spelling of 87232 in words is "eighty-seven thousand, two hundred thirty-two".