25372500 has 120 divisors (see below), whose sum is σ = 78724800. Its totient is φ = 6336000.

The previous prime is 25372499. The next prime is 25372547. The reversal of 25372500 is 527352.

It is a super-4 number, since 4×25372500⁴ (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 127401 + ... + 127599.

It is an arithmetic number, because the mean of its divisors is an integer number (656040).

Almost surely, 2^25372500 is an apocalyptic number.

25372500 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 25372500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39362400).

25372500 is an abundant number, since it is smaller than the sum of its proper divisors (53352300).

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

25372500 is a wasteful number, since it uses less digits than its factorization.

25372500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 25372500 is about 5037.1122679567. The cubic root of 25372500 is about 293.8468821827.

Adding to 25372500 its reverse (527352), we get a palindrome (25899852).

The spelling of 25372500 in words is "twenty-five million, three hundred seventy-two thousand, five hundred".