25952000 has 72 divisors (see below), whose sum is σ = 64729392. Its totient is φ = 10368000.

The previous prime is 25951999. The next prime is 25952021. The reversal of 25952000 is 25952.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31595 + ... + 32405.

Almost surely, 2^25952000 is an apocalyptic number.

25952000 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 25952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32364696).

25952000 is an abundant number, since it is smaller than the sum of its proper divisors (38777392).

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

25952000 is an frugal number, since it uses more digits than its factorization.

25952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 25952000 is about 5094.3105519786. The cubic root of 25952000 is about 296.0671870860.

Adding to 25952000 its reverse (25952), we get a palindrome (25977952).

25952000 divided by its reverse (25952) gives a cube (1000 = 10³).

The spelling of 25952000 in words is "twenty-five million, nine hundred fifty-two thousand".