13207200 has 72 divisors (see below), whose sum is σ = 42997248. Its totient is φ = 3521280.

The previous prime is 13207199. The next prime is 13207213. The reversal of 13207200 is 270231.

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 13207200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352 + ... + 5151.

It is an arithmetic number, because the mean of its divisors is an integer number (597184).

Almost surely, 2^13207200 is an apocalyptic number.

13207200 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 13207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21498624).

13207200 is an abundant number, since it is smaller than the sum of its proper divisors (29790048).

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

13207200 is a wasteful number, since it uses less digits than its factorization.

13207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5526 (or 5513 counting only the distinct ones).

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

The square root of 13207200 is about 3634.1711572242. The cubic root of 13207200 is about 236.3761119469.

Adding to 13207200 its reverse (270231), we get a palindrome (13477431).

The spelling of 13207200 in words is "thirteen million, two hundred seven thousand, two hundred".