73217 has 4 divisors (see below), whose sum is σ = 73776. Its totient is φ = 72660.

The previous prime is 73189. The next prime is 73237. The reversal of 73217 is 71237.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 73217 - 2¹⁶ = 7681 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73217.

It is not an unprimeable number, because it can be changed into a prime (73237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 384.

It is an arithmetic number, because the mean of its divisors is an integer number (18444).

It is a Proth number, since it is equal to 143 ⋅ 2⁹ + 1 and 143 < 2⁹.

2⁷³²¹⁷ is an apocalyptic number.

It is an amenable number.

73217 is a deficient number, since it is larger than the sum of its proper divisors (559).

73217 is a wasteful number, since it uses less digits than its factorization.

73217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558.

The product of its digits is 294, while the sum is 20.

The square root of 73217 is about 270.5864002495. The cubic root of 73217 is about 41.8347627151.

Adding to 73217 its sum of digits (20), we get a palindrome (73237).

The spelling of 73217 in words is "seventy-three thousand, two hundred seventeen", and thus it is an iban number.