25872300 has 216 divisors, whose sum is σ = 91400400. Its totient is φ = 6082560.

The previous prime is 25872293. The next prime is 25872307. The reversal of 25872300 is 327852.

It is an interprime number because it is at equal distance from previous prime (25872293) and next prime (25872307).

It is not an unprimeable number, because it can be changed into a prime (25872307) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 290656 + ... + 290744.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 2^25872300 is an apocalyptic number.

25872300 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 25872300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

25872300 is an abundant number, since it is smaller than the sum of its proper divisors (65528100).

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

25872300 is a wasteful number, since it uses less digits than its factorization.

25872300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 25872300 is about 5086.4820848991. The cubic root of 25872300 is about 295.7637968329.

The spelling of 25872300 in words is "twenty-five million, eight hundred seventy-two thousand, three hundred".