25536672 has 144 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 7128576.

The previous prime is 25536661. The next prime is 25536673. The reversal of 25536672 is 27663552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (75600) is a multiple of the sum of its prime factors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25536673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106729 + ... + 106967.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^25536672 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 25536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

25536672 is an abundant number, since it is smaller than the sum of its proper divisors (59377248).

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

25536672 is a wasteful number, since it uses less digits than its factorization.

25536672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 25536672 is about 5053.3822337124. The cubic root of 25536672 is about 294.4792959446.

The spelling of 25536672 in words is "twenty-five million, five hundred thirty-six thousand, six hundred seventy-two".