13722744 has 64 divisors (see below), whose sum is σ = 40032000. Its totient is φ = 3918432.

The previous prime is 13722733. The next prime is 13722749. The reversal of 13722744 is 44722731.

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

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13722749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7399 + ... + 9065.

It is an arithmetic number, because the mean of its divisors is an integer number (625500).

Almost surely, 2^13722744 is an apocalyptic number.

13722744 is a gapful number since it is divisible by the number (14) 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 13722744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20016000).

13722744 is an abundant number, since it is smaller than the sum of its proper divisors (26309256).

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

13722744 is a wasteful number, since it uses less digits than its factorization.

13722744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1679 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 13722744 is about 3704.4222221556. The cubic root of 13722744 is about 239.4125912464.

The spelling of 13722744 in words is "thirteen million, seven hundred twenty-two thousand, seven hundred forty-four".