25427200 has 108 divisors (see below), whose sum is σ = 65581740. Its totient is φ = 9748480.

The previous prime is 25427197. The next prime is 25427203. The reversal of 25427200 is 272452.

It is an interprime number because it is at equal distance from previous prime (25427197) and next prime (25427203).

It can be written as a sum of positive squares in 6 ways, for example, as 186624 + 25240576 = 432^2 + 5024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25427203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185532 + ... + 185668.

Almost surely, 2^25427200 is an apocalyptic number.

25427200 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 25427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32790870).

25427200 is an abundant number, since it is smaller than the sum of its proper divisors (40154540).

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

25427200 is a wasteful number, since it uses less digits than its factorization.

25427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 25427200 is about 5042.5390429822. The cubic root of 25427200 is about 294.0578965683.

Adding to 25427200 its reverse (272452), we get a palindrome (25699652).

The spelling of 25427200 in words is "twenty-five million, four hundred twenty-seven thousand, two hundred".