13228272 has 100 divisors (see below), whose sum is σ = 39160440. Its totient is φ = 4309632.

The previous prime is 13228247. The next prime is 13228283. The reversal of 13228272 is 27282231.

It is a happy number.

13228272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 19 ways as a sum of consecutive naturals, for example, 76378 + ... + 76550.

Almost surely, 2^13228272 is an apocalyptic number.

13228272 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 13228272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19580220).

13228272 is an abundant number, since it is smaller than the sum of its proper divisors (25932168).

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

13228272 is a wasteful number, since it uses less digits than its factorization.

13228272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 237 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 13228272 is about 3637.0691497413. The cubic root of 13228272 is about 236.5017573213.

The spelling of 13228272 in words is "thirteen million, two hundred twenty-eight thousand, two hundred seventy-two".