12781872 has 60 divisors (see below), whose sum is σ = 36753600. Its totient is φ = 4143744.

The previous prime is 12781871. The next prime is 12781877. The reversal of 12781872 is 27818721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (12781871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4129 + ... + 6527.

It is an arithmetic number, because the mean of its divisors is an integer number (612560).

Almost surely, 2^12781872 is an apocalyptic number.

12781872 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 12781872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376800).

12781872 is an abundant number, since it is smaller than the sum of its proper divisors (23971728).

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

12781872 is a wasteful number, since it uses less digits than its factorization.

12781872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2441 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 12781872 is about 3575.1744013404. The cubic root of 12781872 is about 233.8109364804.

The spelling of 12781872 in words is "twelve million, seven hundred eighty-one thousand, eight hundred seventy-two".