25712580 has 48 divisors (see below), whose sum is σ = 72725184. Its totient is φ = 6787200.

The previous prime is 25712563. The next prime is 25712623. The reversal of 25712580 is 8521752.

It is a super-2 number, since 2×25712580² = 1322273540512800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3939 + ... + 8181.

It is an arithmetic number, because the mean of its divisors is an integer number (1515108).

Almost surely, 2^25712580 is an apocalyptic number.

25712580 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 25712580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36362592).

25712580 is an abundant number, since it is smaller than the sum of its proper divisors (47012604).

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

25712580 is a wasteful number, since it uses less digits than its factorization.

25712580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 25712580 is about 5070.7573398852. The cubic root of 25712580 is about 295.1539175722.

It can be divided in two parts, 2571 and 2580, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 25712580 in words is "twenty-five million, seven hundred twelve thousand, five hundred eighty".