13729758 has 64 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 3674880.

The previous prime is 13729753. The next prime is 13729759. The reversal of 13729758 is 85792731.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13729753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58810 + ... + 59042.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^13729758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13729758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

13729758 is an abundant number, since it is smaller than the sum of its proper divisors (19696674).

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

13729758 is a wasteful number, since it uses less digits than its factorization.

13729758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329.

The product of its digits is 105840, while the sum is 42.

The square root of 13729758 is about 3705.3688075548. The cubic root of 13729758 is about 239.4533740008.

The spelling of 13729758 in words is "thirteen million, seven hundred twenty-nine thousand, seven hundred fifty-eight".