25716000 has 96 divisors (see below), whose sum is σ = 84284928. Its totient is φ = 6854400.

The previous prime is 25715983. The next prime is 25716017. The reversal of 25716000 is 61752.

It is an interprime number because it is at equal distance from previous prime (25715983) and next prime (25716017).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25716000² = 1322625312000000, which contains 22 as substring.

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, 10929 + ... + 13071.

It is an arithmetic number, because the mean of its divisors is an integer number (877968).

Almost surely, 2^25716000 is an apocalyptic number.

25716000 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 25716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42142464).

25716000 is an abundant number, since it is smaller than the sum of its proper divisors (58568928).

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

25716000 is a wasteful number, since it uses less digits than its factorization.

25716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 25716000 is about 5071.0945564050. The cubic root of 25716000 is about 295.1670030171.

Adding to 25716000 its reverse (61752), we get a palindrome (25777752).

The spelling of 25716000 in words is "twenty-five million, seven hundred sixteen thousand".