12709872 has 120 divisors (see below), whose sum is σ = 42247296. Its totient is φ = 3623616.

The previous prime is 12709871. The next prime is 12709883. The reversal of 12709872 is 27890721.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12709871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26983 + ... + 27449.

Almost surely, 2^12709872 is an apocalyptic number.

12709872 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 12709872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

12709872 is an abundant number, since it is smaller than the sum of its proper divisors (29537424).

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

12709872 is an equidigital number, since it uses as much as digits as its factorization.

12709872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12709872 is about 3565.0907421831. The cubic root of 12709872 is about 233.3710923021.

The spelling of 12709872 in words is "twelve million, seven hundred nine thousand, eight hundred seventy-two".