12821872 has 40 divisors (see below), whose sum is σ = 28569600. Its totient is φ = 5460672.

The previous prime is 12821843. The next prime is 12821891. The reversal of 12821872 is 27812821.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26529 + ... + 27007.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^12821872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12821872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284800).

12821872 is an abundant number, since it is smaller than the sum of its proper divisors (15747728).

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

12821872 is a wasteful number, since it uses less digits than its factorization.

12821872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 727 counting only the distinct ones).

The product of its digits is 3584, while the sum is 31.

The square root of 12821872 is about 3580.7641642532. The cubic root of 12821872 is about 234.0545809806.

The spelling of 12821872 in words is "twelve million, eight hundred twenty-one thousand, eight hundred seventy-two".