25200 has 90 divisors (see below), whose sum is σ = 99944. Its totient is φ = 5760.

The previous prime is 25189. The next prime is 25219. The reversal of 25200 is 252.

25200 = T₂₉ + T₃₀ + ... + T₅₅.

25200 = 11² + 12² + ... + 42².

25200 is a nontrivial binomial coefficient, being equal to C(225, 2).

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

25200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3597 + ... + 3603.

25200 is a highly composite number, because it has more divisors than any smaller number.

25200 is a superabundant number, because it has a larger abundancy index than any smaller number.

2²⁵²⁰⁰ is an apocalyptic number.

25200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25200 is the 224-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49972).

25200 is an abundant number, since it is smaller than the sum of its proper divisors (74744).

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

25200 is a wasteful number, since it uses less digits than its factorization.

25200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 25200 is about 158.7450786639. The cubic root of 25200 is about 29.3179441776.

Adding to 25200 its reverse (252), we get a palindrome (25452).

Multiplying 25200 by its reverse (252), we get a square (6350400 = 2520²).

25200 divided by its reverse (252) gives a square (100 = 10²).

It can be divided in two parts, 25 and 200, that added together give a square (225 = 15²).

The spelling of 25200 in words is "twenty-five thousand, two hundred".