12895872 has 128 divisors (see below), whose sum is σ = 38776320. Its totient is φ = 3763200.

The previous prime is 12895849. The next prime is 12895873. The reversal of 12895872 is 27859821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12895873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181597 + ... + 181667.

It is an arithmetic number, because the mean of its divisors is an integer number (302940).

Almost surely, 2^12895872 is an apocalyptic number.

12895872 is a gapful number since it is divisible by the number (12) 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 12895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388160).

12895872 is an abundant number, since it is smaller than the sum of its proper divisors (25880448).

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

12895872 is a wasteful number, since it uses less digits than its factorization.

12895872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 12895872 is about 3591.0822881132. The cubic root of 12895872 is about 234.5039907911.

The spelling of 12895872 in words is "twelve million, eight hundred ninety-five thousand, eight hundred seventy-two".