13066272 has 90 divisors (see below), whose sum is σ = 38976399. Its totient is φ = 4294080.

The previous prime is 13066267. The next prime is 13066279. The reversal of 13066272 is 27266031.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13066272 is a `hidden beast` number, since 1 + 30 + 6 + 627 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6533136 + 6533136 = 2556^2 + 2556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2556.

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

It is not an unprimeable number, because it can be changed into a prime (13066279) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 183997 + ... + 184067.

Almost surely, 2^13066272 is an apocalyptic number.

13066272 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 13066272

13066272 is an abundant number, since it is smaller than the sum of its proper divisors (25910127).

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

13066272 is an frugal number, since it uses more digits than its factorization.

13066272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 76 counting only the distinct ones).

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

The square root of 13066272 is about 3614.7298654256. The cubic root of 13066272 is about 235.5323498097.

The spelling of 13066272 in words is "thirteen million, sixty-six thousand, two hundred seventy-two".