25572960 has 288 divisors, whose sum is σ = 103783680. Its totient is φ = 5612544.

The previous prime is 25572959. The next prime is 25572961. The reversal of 25572960 is 6927552.

25572960 is a `hidden beast` number, since 25 + 572 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (25572959) and next prime (25572961).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25572961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433411 + ... + 433469.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 2^25572960 is an apocalyptic number.

25572960 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 25572960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

25572960 is an abundant number, since it is smaller than the sum of its proper divisors (78210720).

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

25572960 is a wasteful number, since it uses less digits than its factorization.

25572960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 25572960 is about 5056.9714256658. The cubic root of 25572960 is about 294.6187164480.

It can be divided in two parts, 25 and 572960, that added together give a triangular number (572985 = T₁₀₇₀).

The spelling of 25572960 in words is "twenty-five million, five hundred seventy-two thousand, nine hundred sixty".