73318129 has 8 divisors (see below), whose sum is σ = 74740680. Its totient is φ = 71909376.

The previous prime is 73318123. The next prime is 73318151. The reversal of 73318129 is 92181337.

It can be written as a sum of positive squares in 4 ways, for example, as 3629025 + 69689104 = 1905^2 + 8348^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73318129 - 2³ = 73318121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73318094 and 73318103.

It is not an unprimeable number, because it can be changed into a prime (73318121) 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 7 ways as a sum of consecutive naturals, for example, 7617 + ... + 14305.

It is an arithmetic number, because the mean of its divisors is an integer number (9342585).

Almost surely, 2^73318129 is an apocalyptic number.

It is an amenable number.

73318129 is a deficient number, since it is larger than the sum of its proper divisors (1422551).

73318129 is a wasteful number, since it uses less digits than its factorization.

73318129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899.

The product of its digits is 9072, while the sum is 34.

The square root of 73318129 is about 8562.6005979492. The cubic root of 73318129 is about 418.5401489858.

The spelling of 73318129 in words is "seventy-three million, three hundred eighteen thousand, one hundred twenty-nine".