13712000 has 64 divisors (see below), whose sum is σ = 34131240. Its totient is φ = 5478400.

The previous prime is 13711993. The next prime is 13712009. The reversal of 13712000 is 21731.

It can be written as a sum of positive squares in 4 ways, for example, as 7441984 + 6270016 = 2728^2 + 2504^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (13712009) 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, 15572 + ... + 16428.

Almost surely, 2^13712000 is an apocalyptic number.

13712000 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 13712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17065620).

13712000 is an abundant number, since it is smaller than the sum of its proper divisors (20419240).

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

13712000 is an frugal number, since it uses more digits than its factorization.

13712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 13712000 is about 3702.9717795306. The cubic root of 13712000 is about 239.3500935304.

Adding to 13712000 its reverse (21731), we get a palindrome (13733731).

The spelling of 13712000 in words is "thirteen million, seven hundred twelve thousand".