73665 has 12 divisors (see below), whose sum is σ = 127764. Its totient is φ = 39264.

The previous prime is 73651. The next prime is 73673. The reversal of 73665 is 56637.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 62001 = 108^2 + 249^2 .

It is not a de Polignac number, because 73665 - 2¹⁵ = 40897 is a prime.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73665.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 774 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2⁷³⁶⁶⁵ is an apocalyptic number.

It is an amenable number.

73665 is a deficient number, since it is larger than the sum of its proper divisors (54099).

73665 is a wasteful number, since it uses less digits than its factorization.

73665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1645 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 73665 is about 271.4129694764. The cubic root of 73665 is about 41.9199154209.

The spelling of 73665 in words is "seventy-three thousand, six hundred sixty-five".