73705 has 4 divisors (see below), whose sum is σ = 88452. Its totient is φ = 58960.

The previous prime is 73699. The next prime is 73709. The reversal of 73705 is 50737.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 50737 = 113 ⋅449.

It can be written as a sum of positive squares in 2 ways, for example, as 53824 + 19881 = 232^2 + 141^2 .

It is not a de Polignac number, because 73705 - 2⁵ = 73673 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73709) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7366 + ... + 7375.

It is an arithmetic number, because the mean of its divisors is an integer number (22113).

2⁷³⁷⁰⁵ is an apocalyptic number.

It is an amenable number.

73705 is a deficient number, since it is larger than the sum of its proper divisors (14747).

73705 is a wasteful number, since it uses less digits than its factorization.

73705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14746.

The product of its (nonzero) digits is 735, while the sum is 22.

The square root of 73705 is about 271.4866479221. The cubic root of 73705 is about 41.9275015347.

The spelling of 73705 in words is "seventy-three thousand, seven hundred five".