13996272 has 40 divisors (see below), whose sum is σ = 36624640. Its totient is φ = 4605120.

The previous prime is 13996261. The next prime is 13996273. The reversal of 13996272 is 27269931.

It is a self number, because there is not a number n which added to its sum of digits gives 13996272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13996273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1947 + ... + 5637.

It is an arithmetic number, because the mean of its divisors is an integer number (915616).

Almost surely, 2^13996272 is an apocalyptic number.

13996272 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 13996272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18312320).

13996272 is an abundant number, since it is smaller than the sum of its proper divisors (22628368).

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

13996272 is a wasteful number, since it uses less digits than its factorization.

13996272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3775 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 13996272 is about 3741.1591786504. The cubic root of 13996272 is about 240.9928316366.

The spelling of 13996272 in words is "thirteen million, nine hundred ninety-six thousand, two hundred seventy-two".