13566272 has 56 divisors (see below), whose sum is σ = 29361384. Its totient is φ = 6193152.

The previous prime is 13566271. The next prime is 13566277. The reversal of 13566272 is 27266531.

It can be written as a sum of positive squares in 4 ways, for example, as 4946176 + 8620096 = 2224^2 + 2936^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13566271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40088 + ... + 40424.

Almost surely, 2^13566272 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 13566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680692).

13566272 is an abundant number, since it is smaller than the sum of its proper divisors (15795112).

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

13566272 is a wasteful number, since it uses less digits than its factorization.

13566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its digits is 15120, while the sum is 32.

The square root of 13566272 is about 3683.2420501509. The cubic root of 13566272 is about 238.4991524860.

The spelling of 13566272 in words is "thirteen million, five hundred sixty-six thousand, two hundred seventy-two".