73585985 has 16 divisors (see below), whose sum is σ = 96705792. Its totient is φ = 53308800.

The previous prime is 73585961. The next prime is 73585991. The reversal of 73585985 is 58958537.

It is not a de Polignac number, because 73585985 - 2¹⁸ = 73323841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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, 12437 + ... + 17373.

It is an arithmetic number, because the mean of its divisors is an integer number (6044112).

Almost surely, 2^73585985 is an apocalyptic number.

It is an amenable number.

73585985 is a deficient number, since it is larger than the sum of its proper divisors (23119807).

73585985 is a wasteful number, since it uses less digits than its factorization.

73585985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224.

The product of its digits is 1512000, while the sum is 50.

The square root of 73585985 is about 8578.2273809919. The cubic root of 73585985 is about 419.0492192737.

The spelling of 73585985 in words is "seventy-three million, five hundred eighty-five thousand, nine hundred eighty-five".