73216217 has 2 divisors, whose sum is σ = 73216218. Its totient is φ = 73216216.

The previous prime is 73216183. The next prime is 73216219. The reversal of 73216217 is 71261237.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62789776 + 10426441 = 7924^2 + 3229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73216217 is a prime.

It is a super-2 number, since 2×73216217² = 10721228863582178, which contains 22 as substring.

Together with 73216219, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73216217.

It is not a weakly prime, because it can be changed into another prime (73216219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36608108 + 36608109.

It is an arithmetic number, because the mean of its divisors is an integer number (36608109).

Almost surely, 2^73216217 is an apocalyptic number.

It is an amenable number.

73216217 is a deficient number, since it is larger than the sum of its proper divisors (1).

73216217 is an equidigital number, since it uses as much as digits as its factorization.

73216217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3528, while the sum is 29.

The square root of 73216217 is about 8556.6475327666. The cubic root of 73216217 is about 418.3461358424.

The spelling of 73216217 in words is "seventy-three million, two hundred sixteen thousand, two hundred seventeen".