25727904 has 72 divisors (see below), whose sum is σ = 73759140. Its totient is φ = 8506368.

The previous prime is 25727903. The next prime is 25727929. The reversal of 25727904 is 40972752.

It can be written as a sum of positive squares in 2 ways, for example, as 23619600 + 2108304 = 4860^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (25727903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44932 + ... + 45500.

Almost surely, 2^25727904 is an apocalyptic number.

25727904 is a gapful number since it is divisible by the number (24) 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 25727904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36879570).

25727904 is an abundant number, since it is smaller than the sum of its proper divisors (48031236).

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

25727904 is a wasteful number, since it uses less digits than its factorization.

25727904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 25727904 is about 5072.2681317139. The cubic root of 25727904 is about 295.2125405032.

The spelling of 25727904 in words is "twenty-five million, seven hundred twenty-seven thousand, nine hundred four".