73806009 has 32 divisors (see below), whose sum is σ = 105937920. Its totient is φ = 45619200.

The previous prime is 73805999. The next prime is 73806077. The reversal of 73806009 is 90060837.

It is a happy number.

It is not a de Polignac number, because 73806009 - 2¹⁹ = 73281721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73806079) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 306129 + ... + 306369.

It is an arithmetic number, because the mean of its divisors is an integer number (3310560).

Almost surely, 2^73806009 is an apocalyptic number.

It is an amenable number.

73806009 is a deficient number, since it is larger than the sum of its proper divisors (32131911).

73806009 is a wasteful number, since it uses less digits than its factorization.

73806009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 73806009 is about 8591.0423698175. The cubic root of 73806009 is about 419.4664597008.

The spelling of 73806009 in words is "seventy-three million, eight hundred six thousand, nine".