13007200 has 72 divisors (see below), whose sum is σ = 32341680. Its totient is φ = 5107200.

The previous prime is 13007173. The next prime is 13007219. The reversal of 13007200 is 270031.

13007200 = T₂₁₆ + T₂₁₇ + ... + T₄₄₄.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56686 + ... + 56914.

It is an arithmetic number, because the mean of its divisors is an integer number (449190).

Almost surely, 2^13007200 is an apocalyptic number.

13007200 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 13007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170840).

13007200 is an abundant number, since it is smaller than the sum of its proper divisors (19334480).

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

13007200 is a wasteful number, since it uses less digits than its factorization.

13007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 13007200 is about 3606.5495976071. The cubic root of 13007200 is about 235.1768700163.

Adding to 13007200 its reverse (270031), we get a palindrome (13277231).

The spelling of 13007200 in words is "thirteen million, seven thousand, two hundred".