25872000 has 384 divisors, whose sum is σ = 108838080. Its totient is φ = 5376000.

The previous prime is 25871999. The next prime is 25872019. The reversal of 25872000 is 27852.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351995 + ... + 2352005.

Almost surely, 2^25872000 is an apocalyptic number.

25872000 is a gapful number since it is divisible by the number (20) 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 25872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54419040).

25872000 is an abundant number, since it is smaller than the sum of its proper divisors (82966080).

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

25872000 is a wasteful number, since it uses less digits than its factorization.

25872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 25872000 is about 5086.4525948838. The cubic root of 25872000 is about 295.7626536607.

Adding to 25872000 its reverse (27852), we get a palindrome (25899852).

The spelling of 25872000 in words is "twenty-five million, eight hundred seventy-two thousand".