25752 has 32 divisors (see below), whose sum is σ = 68400. Its totient is φ = 8064.

The previous prime is 25747. The next prime is 25759.

25752 is nontrivially palindromic in base 9 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25759) by changing a digit.

25752 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, 678 + ... + 714.

2²⁵⁷⁵² 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 25752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34200).

25752 is an abundant number, since it is smaller than the sum of its proper divisors (42648).

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

25752 is a wasteful number, since it uses less digits than its factorization.

25752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its digits is 700, while the sum is 21.

The square root of 25752 is about 160.4742970073. The cubic root of 25752 is about 29.5304674214.

Subtracting from 25752 its product of digits (700), we obtain a palindrome (25052).

It can be divided in two parts, 25 and 752, that added together give a palindrome (777).

The spelling of 25752 in words is "twenty-five thousand, seven hundred fifty-two".