67729 has 4 divisors (see below), whose sum is σ = 68580. Its totient is φ = 66880.

The previous prime is 67723. The next prime is 67733. The reversal of 67729 is 92776.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4225 + 63504 = 65^2 + 252^2 .

It is a cyclic number.

It is not a de Polignac number, because 67729 - 2⁷ = 67601 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 6⁵ + 7² + 7³ + 2⁹ + 9⁵ .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 67729.

It is not an unprimeable number, because it can be changed into a prime (67723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 292 + ... + 469.

It is an arithmetic number, because the mean of its divisors is an integer number (17145).

2⁶⁷⁷²⁹ is an apocalyptic number.

It is an amenable number.

67729 is a deficient number, since it is larger than the sum of its proper divisors (851).

67729 is an equidigital number, since it uses as much as digits as its factorization.

67729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850.

The product of its digits is 5292, while the sum is 31.

The square root of 67729 is about 260.2479586856. The cubic root of 67729 is about 40.7622568422.

The spelling of 67729 in words is "sixty-seven thousand, seven hundred twenty-nine".