25732000 has 96 divisors (see below), whose sum is σ = 72334080. Its totient is φ = 8812800.

The previous prime is 25731997. The next prime is 25732027. The reversal of 25732000 is 23752.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27541 + ... + 28459.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 2^25732000 is an apocalyptic number.

25732000 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 25732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167040).

25732000 is an abundant number, since it is smaller than the sum of its proper divisors (46602080).

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

25732000 is an equidigital number, since it uses as much as digits as its factorization.

25732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 25732000 is about 5072.6718797888. The cubic root of 25732000 is about 295.2282060675.

Adding to 25732000 its reverse (23752), we get a palindrome (25755752).

The spelling of 25732000 in words is "twenty-five million, seven hundred thirty-two thousand".