252288 has 64 divisors (see below), whose sum is σ = 754800. Its totient is φ = 82944.

The previous prime is 252283. The next prime is 252289. The reversal of 252288 is 882252.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252283) by changing a digit.

252288 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 7 ways as a sum of consecutive naturals, for example, 3420 + ... + 3492.

2²⁵²²⁸⁸ 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 252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377400).

252288 is an abundant number, since it is smaller than the sum of its proper divisors (502512).

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

252288 is an equidigital number, since it uses as much as digits as its factorization.

252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 252288 is about 502.2827888750. The cubic root of 252288 is about 63.1876491381.

The spelling of 252288 in words is "two hundred fifty-two thousand, two hundred eighty-eight".