25582720 has 64 divisors (see below), whose sum is σ = 62130240. Its totient is φ = 10071040.

The previous prime is 25582703. The next prime is 25582723. The reversal of 25582720 is 2728552.

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

It is not an unprimeable number, because it can be changed into a prime (25582723) 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, 45159 + ... + 45721.

It is an arithmetic number, because the mean of its divisors is an integer number (970785).

Almost surely, 2^25582720 is an apocalyptic number.

25582720 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 25582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31065120).

25582720 is an abundant number, since it is smaller than the sum of its proper divisors (36547520).

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

25582720 is an equidigital number, since it uses as much as digits as its factorization.

25582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 31.

The square root of 25582720 is about 5057.9363380731. The cubic root of 25582720 is about 294.6561923983.

The spelling of 25582720 in words is "twenty-five million, five hundred eighty-two thousand, seven hundred twenty".