87152 has 20 divisors (see below), whose sum is σ = 182280. Its totient is φ = 40128.

The previous prime is 87151. The next prime is 87179. The reversal of 87152 is 25178.

It is a super-2 number, since 2×87152² = 15190942208, which contains 22 as substring.

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 87152.

It is not an unprimeable number, because it can be changed into a prime (87151) by changing a digit.

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, 2 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (9114).

2⁸⁷¹⁵² 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 87152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91140).

87152 is an abundant number, since it is smaller than the sum of its proper divisors (95128).

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

87152 is a wasteful number, since it uses less digits than its factorization.

87152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 87152 is about 295.2151757617. The cubic root of 87152 is about 44.3362665379.

The spelling of 87152 in words is "eighty-seven thousand, one hundred fifty-two".