25632 has 36 divisors (see below), whose sum is σ = 73710. Its totient is φ = 8448.

The previous prime is 25621. The next prime is 25633. The reversal of 25632 is 23652.

Added to its reverse (23652) it gives a square (49284 = 222²).

It can be written as a sum of positive squares in only one way, i.e., 24336 + 1296 = 156^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (25633) by changing a digit.

25632 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 5 ways as a sum of consecutive naturals, for example, 244 + ... + 332.

2²⁵⁶³² 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 25632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36855).

25632 is an abundant number, since it is smaller than the sum of its proper divisors (48078).

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

25632 is a wasteful number, since it uses less digits than its factorization.

25632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 94 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 25632 is about 160.0999687695. The cubic root of 25632 is about 29.4845269810.

Adding to 25632 its reverse (23652), we get a square (49284 = 222²).

It can be divided in two parts, 256 and 32, that multiplied together give a 13-th power (8192 = 2¹³).

The spelling of 25632 in words is "twenty-five thousand, six hundred thirty-two".