25128 has 24 divisors (see below), whose sum is σ = 68250. Its totient is φ = 8352.

The previous prime is 25127. The next prime is 25147. The reversal of 25128 is 82152.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 6084 = 138^2 + 78^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 25128.

It is not an unprimeable number, because it can be changed into a prime (25121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103 + ... + 246.

2²⁵¹²⁸ is an apocalyptic number.

It is an amenable number.

25128 is an abundant number, since it is smaller than the sum of its proper divisors (43122).

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

25128 is a wasteful number, since it uses less digits than its factorization.

25128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 25128 is about 158.5181377635. The cubic root of 25128 is about 29.2899956914.

It can be divided in two parts, 25 and 128, that added together give a triangular number (153 = T₁₇).

The spelling of 25128 in words is "twenty-five thousand, one hundred twenty-eight".