13027200 has 192 divisors, whose sum is σ = 45532800. Its totient is φ = 3266560.

The previous prime is 13027181. The next prime is 13027207. The reversal of 13027200 is 272031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13027200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13027207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220771 + ... + 220829.

It is an arithmetic number, because the mean of its divisors is an integer number (237150).

Almost surely, 2^13027200 is an apocalyptic number.

13027200 is a gapful number since it is divisible by the number (10) 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 13027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

13027200 is an abundant number, since it is smaller than the sum of its proper divisors (32505600).

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

13027200 is a wasteful number, since it uses less digits than its factorization.

13027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 13027200 is about 3609.3212658338. The cubic root of 13027200 is about 235.2973450538.

Adding to 13027200 its reverse (272031), we get a palindrome (13299231).

The spelling of 13027200 in words is "thirteen million, twenty-seven thousand, two hundred".