13395872 has 48 divisors (see below), whose sum is σ = 30562560. Its totient is φ = 5660928.

The previous prime is 13395859. The next prime is 13395923. The reversal of 13395872 is 27859331.

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, 17318 + ... + 18074.

It is an arithmetic number, because the mean of its divisors is an integer number (636720).

Almost surely, 2^13395872 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 13395872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15281280).

13395872 is an abundant number, since it is smaller than the sum of its proper divisors (17166688).

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

13395872 is an equidigital number, since it uses as much as digits as its factorization.

13395872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 845 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 13395872 is about 3660.0371582813. The cubic root of 13395872 is about 237.4963811083.

The spelling of 13395872 in words is "thirteen million, three hundred ninety-five thousand, eight hundred seventy-two".