13729716 has 192 divisors, whose sum is σ = 48168960. Its totient is φ = 3265920.

The previous prime is 13729699. The next prime is 13729739. The reversal of 13729716 is 61792731.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108045 + ... + 108171.

It is an arithmetic number, because the mean of its divisors is an integer number (250880).

Almost surely, 2^13729716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13729716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24084480).

13729716 is an abundant number, since it is smaller than the sum of its proper divisors (34439244).

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

13729716 is a wasteful number, since it uses less digits than its factorization.

13729716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 13729716 is about 3705.3631400984. The cubic root of 13729716 is about 239.4531298341.

The spelling of 13729716 in words is "thirteen million, seven hundred twenty-nine thousand, seven hundred sixteen".