13729068 has 48 divisors (see below), whose sum is σ = 37148160. Its totient is φ = 4376592.

The previous prime is 13729061. The next prime is 13729099. The reversal of 13729068 is 86092731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13729061) 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 15 ways as a sum of consecutive naturals, for example, 280 + ... + 5247.

It is an arithmetic number, because the mean of its divisors is an integer number (773920).

Almost surely, 2^13729068 is an apocalyptic number.

13729068 is a gapful number since it is divisible by the number (18) 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 13729068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18574080).

13729068 is an abundant number, since it is smaller than the sum of its proper divisors (23419092).

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

13729068 is a wasteful number, since it uses less digits than its factorization.

13729068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13729068 is about 3705.2756982443. The cubic root of 13729068 is about 239.4493626265.

It can be divided in two parts, 1372 and 9068, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 13729068 in words is "thirteen million, seven hundred twenty-nine thousand, sixty-eight".