25788672 has 288 divisors, whose sum is σ = 96149760. Its totient is φ = 6635520.

The previous prime is 25788661. The next prime is 25788689. The reversal of 25788672 is 27688752.

25788672 is a `hidden beast` number, since 2 + 578 + 8 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628972 + ... + 629012.

Almost surely, 2^25788672 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 25788672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48074880).

25788672 is an abundant number, since it is smaller than the sum of its proper divisors (70361088).

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

25788672 is a wasteful number, since it uses less digits than its factorization.

25788672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 25788672 is about 5078.2548183406. The cubic root of 25788672 is about 295.4447834164. Note that the first 3 decimals are identical.

The spelling of 25788672 in words is "twenty-five million, seven hundred eighty-eight thousand, six hundred seventy-two".