25971072 has 64 divisors (see below), whose sum is σ = 70502400. Its totient is φ = 8466944.

The previous prime is 25971067. The next prime is 25971073. The reversal of 25971072 is 27017952.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25971073) 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, 17329 + ... + 18767.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 2^25971072 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 25971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35251200).

25971072 is an abundant number, since it is smaller than the sum of its proper divisors (44531328).

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

25971072 is a wasteful number, since it uses less digits than its factorization.

25971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 25971072 is about 5096.1821003571. The cubic root of 25971072 is about 296.1396954442.

The spelling of 25971072 in words is "twenty-five million, nine hundred seventy-one thousand, seventy-two".