87252 has 24 divisors (see below), whose sum is σ = 222432. Its totient is φ = 26400.

The previous prime is 87251. The next prime is 87253. The reversal of 87252 is 25278.

It is an interprime number because it is at equal distance from previous prime (87251) and next prime (87253).

It is a super-2 number, since 2×87252² = 15225823008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (9268).

2⁸⁷²⁵² is an apocalyptic number.

It is an amenable number.

87252 is an abundant number, since it is smaller than the sum of its proper divisors (135180).

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 (111216).

87252 is a wasteful number, since it uses less digits than its factorization.

87252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 87252 is about 295.3844951923. The cubic root of 87252 is about 44.3532175048.

It can be divided in two parts, 8 and 7252, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 87252 in words is "eighty-seven thousand, two hundred fifty-two".