25872 has 60 divisors (see below), whose sum is σ = 84816. Its totient is φ = 6720.

The previous prime is 25867. The next prime is 25873. The reversal of 25872 is 27852.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as **2**^{11} + **5**^{6} + **8**^{4} + **7** + **2**^{12} .

It is an alternating number because its digits alternate between even and odd.

It is a nialpdrome in base 14 and base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 25872.

It is not an unprimeable number, because it can be changed into a prime (25873) by changing a digit.

25872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2347 + ... + 2357.

25872 is a Friedman number, since it can be written as 528*7^2, using all its digits and the basic arithmetic operations.

2^{25872} is an apocalyptic number.

25872 is a gapful number since it is divisible by the number (22) 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 25872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408).

25872 is an abundant number, since it is smaller than the sum of its proper divisors (58944).

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

25872 is a wasteful number, since it uses less digits than its factorization.

25872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 23 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 25872 is about 160.8477541031. The cubic root of 25872 is about 29.5762653661.

The spelling of 25872 in words is "twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 6468 8624 12936 25872

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