13744224 has 72 divisors (see below), whose sum is σ = 42103152. Its totient is φ = 4227840.

The previous prime is 13744193. The next prime is 13744229. The reversal of 13744224 is 42244731.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13744229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1909 + ... + 5579.

It is an arithmetic number, because the mean of its divisors is an integer number (584766).

Almost surely, 2^13744224 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 13744224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051576).

13744224 is an abundant number, since it is smaller than the sum of its proper divisors (28358928).

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

13744224 is a wasteful number, since it uses less digits than its factorization.

13744224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3689 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 13744224 is about 3707.3203260576. The cubic root of 13744224 is about 239.5374424080.

Adding to 13744224 its reverse (42244731), we get a palindrome (55988955).

It can be divided in two parts, 1 and 3744224, that added together give a square (3744225 = 1935²).

The spelling of 13744224 in words is "thirteen million, seven hundred forty-four thousand, two hundred twenty-four".