25323200 has 252 divisors, whose sum is σ = 80787240. Its totient is φ = 7741440.

The previous prime is 25323197. The next prime is 25323203. The reversal of 25323200 is 232352.

It is an interprime number because it is at equal distance from previous prime (25323197) and next prime (25323203).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25323203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1332791 + ... + 1332809.

Almost surely, 2^25323200 is an apocalyptic number.

25323200 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 25323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40393620).

25323200 is an abundant number, since it is smaller than the sum of its proper divisors (55464040).

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

25323200 is a wasteful number, since it uses less digits than its factorization.

25323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 25323200 is about 5032.2162115712. The cubic root of 25323200 is about 293.6564391941.

Adding to 25323200 its reverse (232352), we get a palindrome (25555552).

The spelling of 25323200 in words is "twenty-five million, three hundred twenty-three thousand, two hundred".