73009 has 2 divisors, whose sum is σ = 73010. Its totient is φ = 73008.

The previous prime is 72997. The next prime is 73013. The reversal of 73009 is 90037.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 21025 = 228^2 + 145^2 .

It is a cyclic number.

It is not a de Polignac number, because 73009 - 2⁵ = 72977 is a prime.

It is a Chen prime.

73009 is a lucky number.

It is equal to p₇₂₁₉ and since 73009 and 7219 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (73019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36504 + 36505.

It is an arithmetic number, because the mean of its divisors is an integer number (36505).

2⁷³⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

73009 is a deficient number, since it is larger than the sum of its proper divisors (1).

73009 is an equidigital number, since it uses as much as digits as its factorization.

73009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 19.

The square root of 73009 is about 270.2017764560. The cubic root of 73009 is about 41.7951094299.

The spelling of 73009 in words is "seventy-three thousand, nine".