13606272 has 128 divisors (see below), whose sum is σ = 41779200. Its totient is φ = 4354560.

The previous prime is 13606207. The next prime is 13606283. The reversal of 13606272 is 27260631.

It is a happy number.

13606272 is a `hidden beast` number, since 1 + 36 + 0 + 627 + 2 = 666.

13606272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107073 + ... + 107199.

It is an arithmetic number, because the mean of its divisors is an integer number (326400).

Almost surely, 2^13606272 is an apocalyptic number.

13606272 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 13606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20889600).

13606272 is an abundant number, since it is smaller than the sum of its proper divisors (28172928).

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

13606272 is a wasteful number, since it uses less digits than its factorization.

13606272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13606272 is about 3688.6680522920. The cubic root of 13606272 is about 238.7333265039.

The spelling of 13606272 in words is "thirteen million, six hundred six thousand, two hundred seventy-two".