13724000 has 96 divisors (see below), whose sum is σ = 34909056. Its totient is φ = 5299200.

The previous prime is 13723999. The next prime is 13724017. The reversal of 13724000 is 42731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13724000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187964 + ... + 188036.

It is an arithmetic number, because the mean of its divisors is an integer number (363636).

Almost surely, 2^13724000 is an apocalyptic number.

13724000 is a gapful number since it is divisible by the number (10) 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 13724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454528).

13724000 is an abundant number, since it is smaller than the sum of its proper divisors (21185056).

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

13724000 is an equidigital number, since it uses as much as digits as its factorization.

13724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 13724000 is about 3704.5917453884. The cubic root of 13724000 is about 239.4198952530.

Adding to 13724000 its reverse (42731), we get a palindrome (13766731).

The spelling of 13724000 in words is "thirteen million, seven hundred twenty-four thousand".