13844272 has 40 divisors (see below), whose sum is σ = 29216880. Its totient is φ = 6316800.

The previous prime is 13844263. The next prime is 13844279. The reversal of 13844272 is 27244831.

It is not an unprimeable number, because it can be changed into a prime (13844279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20679 + ... + 21337.

It is an arithmetic number, because the mean of its divisors is an integer number (730422).

Almost surely, 2^13844272 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 13844272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608440).

13844272 is an abundant number, since it is smaller than the sum of its proper divisors (15372608).

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

13844272 is a wasteful number, since it uses less digits than its factorization.

13844272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 13844272 is about 3720.7891636049. The cubic root of 13844272 is about 240.1172575166.

The spelling of 13844272 in words is "thirteen million, eight hundred forty-four thousand, two hundred seventy-two".