25724000 has 96 divisors (see below), whose sum is σ = 64864800. Its totient is φ = 10022400.

The previous prime is 25723987. The next prime is 25724011. The reversal of 25724000 is 42752.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235946 + ... + 236054.

It is an arithmetic number, because the mean of its divisors is an integer number (675675).

Almost surely, 2^25724000 is an apocalyptic number.

25724000 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 25724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32432400).

25724000 is an abundant number, since it is smaller than the sum of its proper divisors (39140800).

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

25724000 is a wasteful number, since it uses less digits than its factorization.

25724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 25724000 is about 5071.8832794141. The cubic root of 25724000 is about 295.1976077146.

Adding to 25724000 its reverse (42752), we get a palindrome (25766752).

The spelling of 25724000 in words is "twenty-five million, seven hundred twenty-four thousand".