73008073 has 2 divisors, whose sum is σ = 73008074. Its totient is φ = 73008072.

The previous prime is 73008053. The next prime is 73008077. The reversal of 73008073 is 37080037.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71014329 + 1993744 = 8427^2 + 1412^2 .

It is a cyclic number.

It is not a de Polignac number, because 73008073 - 2⁵ = 73008041 is a prime.

It is not a weakly prime, because it can be changed into another prime (73008077) 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 as a sum of consecutive naturals, namely, 36504036 + 36504037.

It is an arithmetic number, because the mean of its divisors is an integer number (36504037).

Almost surely, 2^73008073 is an apocalyptic number.

It is an amenable number.

73008073 is a deficient number, since it is larger than the sum of its proper divisors (1).

73008073 is an equidigital number, since it uses as much as digits as its factorization.

73008073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 73008073 is about 8544.4761688473. The cubic root of 73008073 is about 417.9493253740.

Subtracting from 73008073 its reverse (37080037), we obtain a square (35928036 = 5994²).

The spelling of 73008073 in words is "seventy-three million, eight thousand, seventy-three".