25872768 has 96 divisors (see below), whose sum is σ = 76589760. Its totient is φ = 8377344.

The previous prime is 25872767. The next prime is 25872773. The reversal of 25872768 is 86727852.

25872768 is a `hidden beast` number, since 2 + 587 + 2 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25872761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42321 + ... + 42927.

It is an arithmetic number, because the mean of its divisors is an integer number (797810).

Almost surely, 2^25872768 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 25872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38294880).

25872768 is an abundant number, since it is smaller than the sum of its proper divisors (50716992).

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

25872768 is a wasteful number, since it uses less digits than its factorization.

25872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 649 counting only the distinct ones).

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

The square root of 25872768 is about 5086.5280889817. The cubic root of 25872768 is about 295.7655801639.

The spelling of 25872768 in words is "twenty-five million, eight hundred seventy-two thousand, seven hundred sixty-eight".