25032 has 32 divisors (see below), whose sum is σ = 72000. Its totient is φ = 7104.

The previous prime is 25031. The next prime is 25033. The reversal of 25032 is 23052.

It is an interprime number because it is at equal distance from previous prime (25031) and next prime (25033).

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a junction number, because it is equal to n+sod(n) for n = 24999 and 25017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25032.

It is not an unprimeable number, because it can be changed into a prime (25031) 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, 94 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (2250).

2²⁵⁰³² 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 25032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36000).

25032 is an abundant number, since it is smaller than the sum of its proper divisors (46968).

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

25032 is a wasteful number, since it uses less digits than its factorization.

25032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 25032 is about 158.2150435325. The cubic root of 25032 is about 29.2526478719.

Adding to 25032 its reverse (23052), we get a palindrome (48084).

It can be divided in two parts, 250 and 32, that multiplied together give a cube (8000 = 20³).

The spelling of 25032 in words is "twenty-five thousand, thirty-two".