13724144 has 40 divisors (see below), whose sum is σ = 30602208. Its totient is φ = 5840640.

The previous prime is 13724143. The next prime is 13724149. The reversal of 13724144 is 44142731.

13724144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13724143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19934 + ... + 20610.

Almost surely, 2^13724144 is an apocalyptic number.

13724144 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 13724144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301104).

13724144 is an abundant number, since it is smaller than the sum of its proper divisors (16878064).

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

13724144 is a wasteful number, since it uses less digits than its factorization.

13724144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 867 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 13724144 is about 3704.6111806774. The cubic root of 13724144 is about 239.4207326266.

Adding to 13724144 its reverse (44142731), we get a palindrome (57866875).

The spelling of 13724144 in words is "thirteen million, seven hundred twenty-four thousand, one hundred forty-four".