13728195 has 48 divisors (see below), whose sum is σ = 26487552. Its totient is φ = 6531840.

The previous prime is 13728193. The next prime is 13728229. The reversal of 13728195 is 59182731.

It is not a de Polignac number, because 13728195 - 2¹ = 13728193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13728193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17757 + ... + 18513.

It is an arithmetic number, because the mean of its divisors is an integer number (551824).

Almost surely, 2^13728195 is an apocalyptic number.

13728195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13728195 is a deficient number, since it is larger than the sum of its proper divisors (12759357).

13728195 is a wasteful number, since it uses less digits than its factorization.

13728195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 809 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13728195 is about 3705.1578913725. The cubic root of 13728195 is about 239.4442871734. Note that the first 3 decimals are identical.

The spelling of 13728195 in words is "thirteen million, seven hundred twenty-eight thousand, one hundred ninety-five".