73065 has 8 divisors (see below), whose sum is σ = 116928. Its totient is φ = 38960.

The previous prime is 73063. The next prime is 73079. The reversal of 73065 is 56037.

73065 = 55² + 56² + ... + 72².

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73065 - 2¹ = 73063 is a prime.

73065 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (73061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2421 + ... + 2450.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2⁷³⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

73065 is a deficient number, since it is larger than the sum of its proper divisors (43863).

73065 is a wasteful number, since it uses less digits than its factorization.

73065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 73065 is about 270.3053828543. The cubic root of 73065 is about 41.8057927154.

The spelling of 73065 in words is "seventy-three thousand, sixty-five".