73008309 has 16 divisors (see below), whose sum is σ = 107173440. Its totient is φ = 43839360.

The previous prime is 73008307. The next prime is 73008329. The reversal of 73008309 is 90380037.

It is not a de Polignac number, because 73008309 - 2¹ = 73008307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73008307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6552 + ... + 13745.

It is an arithmetic number, because the mean of its divisors is an integer number (6698340).

Almost surely, 2^73008309 is an apocalyptic number.

It is an amenable number.

73008309 is a deficient number, since it is larger than the sum of its proper divisors (34165131).

73008309 is a wasteful number, since it uses less digits than its factorization.

73008309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20420.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 73008309 is about 8544.4899789279. The cubic root of 73008309 is about 417.9497757166.

The spelling of 73008309 in words is "seventy-three million, eight thousand, three hundred nine".