73205 has 10 divisors (see below), whose sum is σ = 96630. Its totient is φ = 53240.

The previous prime is 73189. The next prime is 73237. The reversal of 73205 is 50237.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 14641 = 242^2 + 121^2 .

It is not a de Polignac number, because 73205 - 2⁴ = 73189 is a prime.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73205.

It is an unprimeable number.

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 in 9 ways as a sum of consecutive naturals, for example, 6650 + ... + 6660.

It is an arithmetic number, because the mean of its divisors is an integer number (9663).

2⁷³²⁰⁵ is an apocalyptic number.

It is an amenable number.

73205 is a deficient number, since it is larger than the sum of its proper divisors (23425).

73205 is an frugal number, since it uses more digits than its factorization.

73205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 73205 is about 270.5642252775. The cubic root of 73205 is about 41.8324770684.

The spelling of 73205 in words is "seventy-three thousand, two hundred five".