73305 has 20 divisors (see below), whose sum is σ = 132132. Its totient is φ = 38880.

The previous prime is 73303. The next prime is 73309. The reversal of 73305 is 50337.

73305 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 9801 + 63504 = 99^2 + 252^2 .

It is not a de Polignac number, because 73305 - 2¹ = 73303 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

73305 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 315 + ... + 495.

2⁷³³⁰⁵ is an apocalyptic number.

It is an amenable number.

73305 is a deficient number, since it is larger than the sum of its proper divisors (58827).

73305 is a wasteful number, since it uses less digits than its factorization.

73305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 18.

The square root of 73305 is about 270.7489612168. The cubic root of 73305 is about 41.8515164980.

It can be divided in two parts, 73 and 305, that added together give a triangular number (378 = T₂₇).

The spelling of 73305 in words is "seventy-three thousand, three hundred five".