25712400 has 120 divisors (see below), whose sum is σ = 94162624. Its totient is φ = 5875200.

The previous prime is 25712399. The next prime is 25712417. The reversal of 25712400 is 421752.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×25712400² = 1322255027520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6870 + ... + 9930.

Almost surely, 2^25712400 is an apocalyptic number.

25712400 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 25712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47081312).

25712400 is an abundant number, since it is smaller than the sum of its proper divisors (68450224).

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

25712400 is a wasteful number, since it uses less digits than its factorization.

25712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 25712400 is about 5070.7395910261. The cubic root of 25712400 is about 295.1532288324.

The spelling of 25712400 in words is "twenty-five million, seven hundred twelve thousand, four hundred".