13670272 has 128 divisors (see below), whose sum is σ = 36230400. Its totient is φ = 4976640.

The previous prime is 13670221. The next prime is 13670297. The reversal of 13670272 is 27207631.

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 (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13670272.

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, 187228 + ... + 187300.

It is an arithmetic number, because the mean of its divisors is an integer number (283050).

Almost surely, 2^13670272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18115200).

13670272 is an abundant number, since it is smaller than the sum of its proper divisors (22560128).

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

13670272 is a wasteful number, since it uses less digits than its factorization.

13670272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 13670272 is about 3697.3330929198. Note that the first 3 decimals coincide. The cubic root of 13670272 is about 239.1070521748.

The spelling of 13670272 in words is "thirteen million, six hundred seventy thousand, two hundred seventy-two".