13726272 has 84 divisors (see below), whose sum is σ = 42275760. Its totient is φ = 3919104.

The previous prime is 13726249. The next prime is 13726283. The reversal of 13726272 is 27262731.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8679 + ... + 10137.

Almost surely, 2^13726272 is an apocalyptic number.

13726272 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 13726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21137880).

13726272 is an abundant number, since it is smaller than the sum of its proper divisors (28549488).

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

13726272 is a wasteful number, since it uses less digits than its factorization.

13726272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1471 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 13726272 is about 3704.8983791732. The cubic root of 13726272 is about 239.4331064642.

It can be divided in two parts, 1 and 3726272, that added together give a palindrome (3726273).

The spelling of 13726272 in words is "thirteen million, seven hundred twenty-six thousand, two hundred seventy-two".