12859872 has 48 divisors (see below), whose sum is σ = 34129872. Its totient is φ = 4239360.

The previous prime is 12859853. The next prime is 12859879. The reversal of 12859872 is 27895821.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12859879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8622 + ... + 10002.

It is an arithmetic number, because the mean of its divisors is an integer number (711039).

Almost surely, 2^12859872 is an apocalyptic number.

12859872 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 12859872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064936).

12859872 is an abundant number, since it is smaller than the sum of its proper divisors (21270000).

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

12859872 is a wasteful number, since it uses less digits than its factorization.

12859872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1483 counting only the distinct ones).

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

The square root of 12859872 is about 3586.0663685994. The cubic root of 12859872 is about 234.2855743463.

It can be divided in two parts, 12859 and 872, that added together give a palindrome (13731).

The spelling of 12859872 in words is "twelve million, eight hundred fifty-nine thousand, eight hundred seventy-two".