13696272 has 60 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 4534464.

The previous prime is 13696217. The next prime is 13696273. The reversal of 13696272 is 27269631.

It is a super-3 number, since 3×13696272³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13696273) 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 11 ways as a sum of consecutive naturals, for example, 32479 + ... + 32897.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 2^13696272 is an apocalyptic number.

13696272 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 13696272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295640).

13696272 is an abundant number, since it is smaller than the sum of its proper divisors (24895008).

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

13696272 is a wasteful number, since it uses less digits than its factorization.

13696272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 651 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13696272 is about 3700.8474705127. The cubic root of 13696272 is about 239.2585450445.

The spelling of 13696272 in words is "thirteen million, six hundred ninety-six thousand, two hundred seventy-two".