25072960 has 112 divisors (see below), whose sum is σ = 69128640. Its totient is φ = 8560640.

The previous prime is 25072937. The next prime is 25072961. The reversal of 25072960 is 6927052.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25072961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59631 + ... + 60049.

It is an arithmetic number, because the mean of its divisors is an integer number (617220).

Almost surely, 2^25072960 is an apocalyptic number.

25072960 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 25072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564320).

25072960 is an abundant number, since it is smaller than the sum of its proper divisors (44055680).

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

25072960 is a wasteful number, since it uses less digits than its factorization.

25072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 25072960 is about 5007.2906845918. The cubic root of 25072960 is about 292.6859460032.

The spelling of 25072960 in words is "twenty-five million, seventy-two thousand, nine hundred sixty".