25635072 has 72 divisors (see below), whose sum is σ = 70640640. Its totient is φ = 8243200.

The previous prime is 25635059. The next prime is 25635073. The reversal of 25635072 is 27053652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25635073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21697 + ... + 22847.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^25635072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35320320).

25635072 is an abundant number, since it is smaller than the sum of its proper divisors (45005568).

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

25635072 is a wasteful number, since it uses less digits than its factorization.

25635072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 25635072 is about 5063.1089263416. The cubic root of 25635072 is about 294.8570484260.

The spelling of 25635072 in words is "twenty-five million, six hundred thirty-five thousand, seventy-two".