13238272 has 36 divisors (see below), whose sum is σ = 26738586. Its totient is φ = 6553600.

The previous prime is 13238263. The next prime is 13238273. The reversal of 13238272 is 27283231.

It can be written as a sum of positive squares in only one way, i.e., 7929856 + 5308416 = 2816^2 + 2304^2 .

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13238272.

It is not an unprimeable number, because it can be changed into a prime (13238273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131022 + ... + 131122.

Almost surely, 2^13238272 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 13238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369293).

13238272 is an abundant number, since it is smaller than the sum of its proper divisors (13500314).

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

13238272 is an frugal number, since it uses more digits than its factorization.

13238272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 103 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 13238272 is about 3638.4436233093. The cubic root of 13238272 is about 236.5613373348.

The spelling of 13238272 in words is "thirteen million, two hundred thirty-eight thousand, two hundred seventy-two".