25725168 has 160 divisors (see below), whose sum is σ = 86661120. Its totient is φ = 7153920.

The previous prime is 25725151. The next prime is 25725169. The reversal of 25725168 is 86152752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (33600) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25725169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142038 + ... + 142218.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 2^25725168 is an apocalyptic number.

25725168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25725168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43330560).

25725168 is an abundant number, since it is smaller than the sum of its proper divisors (60935952).

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

25725168 is a wasteful number, since it uses less digits than its factorization.

25725168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 25725168 is about 5071.9984227127. The cubic root of 25725168 is about 295.2020754696.

It can be divided in two parts, 257 and 25168, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 25725168 in words is "twenty-five million, seven hundred twenty-five thousand, one hundred sixty-eight".