73112309 has 2 divisors, whose sum is σ = 73112310. Its totient is φ = 73112308.

The previous prime is 73112287. The next prime is 73112311. The reversal of 73112309 is 90321137.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63520900 + 9591409 = 7970^2 + 3097^2 .

It is an emirp because it is prime and its reverse (90321137) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73112309 is a prime.

It is a super-2 number, since 2×73112309² = 10690819454622962, which contains 22 as substring.

Together with 73112311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (73112339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36556154 + 36556155.

It is an arithmetic number, because the mean of its divisors is an integer number (36556155).

Almost surely, 2^73112309 is an apocalyptic number.

It is an amenable number.

73112309 is a deficient number, since it is larger than the sum of its proper divisors (1).

73112309 is an equidigital number, since it uses as much as digits as its factorization.

73112309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 73112309 is about 8550.5736064898. The cubic root of 73112309 is about 418.1481374017.

The spelling of 73112309 in words is "seventy-three million, one hundred twelve thousand, three hundred nine".