12829872 has 90 divisors (see below), whose sum is σ = 37222444. Its totient is φ = 3805120.

The previous prime is 12829847. The next prime is 12829879. The reversal of 12829872 is 27892821.

Its product of digits (32256) is a multiple of the sum of its prime divisors (63).

It is a self number, because there is not a number n which added to its sum of digits gives 12829872.

It is not an unprimeable number, because it can be changed into a prime (12829879) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 272953 + ... + 272999.

Almost surely, 2^12829872 is an apocalyptic number.

12829872 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 12829872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18611222).

12829872 is an abundant number, since it is smaller than the sum of its proper divisors (24392572).

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

12829872 is a wasteful number, since it uses less digits than its factorization.

12829872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 63 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 12829872 is about 3581.8810700524. The cubic root of 12829872 is about 234.1032490523.

The spelling of 12829872 in words is "twelve million, eight hundred twenty-nine thousand, eight hundred seventy-two".