87552 has 60 divisors (see below), whose sum is σ = 265980. Its totient is φ = 27648.

The previous prime is 87547. The next prime is 87553. The reversal of 87552 is 25578.

It is a happy number.

It is a nialpdrome in base 10.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87553) by changing a digit.

87552 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4599 + ... + 4617.

It is an arithmetic number, because the mean of its divisors is an integer number (4433).

2⁸⁷⁵⁵² 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 87552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132990).

87552 is an abundant number, since it is smaller than the sum of its proper divisors (178428).

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

87552 is a wasteful number, since it uses less digits than its factorization.

87552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 24 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 87552 is about 295.8918721425. The cubic root of 87552 is about 44.4039928233.

The spelling of 87552 in words is "eighty-seven thousand, five hundred fifty-two".