13727712 has 48 divisors (see below), whose sum is σ = 36312192. Its totient is φ = 4540800.

The previous prime is 13727677. The next prime is 13727717. The reversal of 13727712 is 21772731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13727712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14023 + ... + 14969.

It is an arithmetic number, because the mean of its divisors is an integer number (756504).

Almost surely, 2^13727712 is an apocalyptic number.

13727712 is a gapful number since it is divisible by the number (12) 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 13727712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18156096).

13727712 is an abundant number, since it is smaller than the sum of its proper divisors (22584480).

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

13727712 is a wasteful number, since it uses less digits than its factorization.

13727712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1103 counting only the distinct ones).

The product of its digits is 4116, while the sum is 30.

The square root of 13727712 is about 3705.0927113906. The cubic root of 13727712 is about 239.4414790123.

The spelling of 13727712 in words is "thirteen million, seven hundred twenty-seven thousand, seven hundred twelve".