73785 has 8 divisors (see below), whose sum is σ = 118080. Its totient is φ = 39344.

The previous prime is 73783. The next prime is 73819. The reversal of 73785 is 58737.

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

It is a cyclic number.

It is not a de Polignac number, because 73785 - 2¹ = 73783 is a prime.

It is a Curzon number.

73785 is a lucky number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (73783) 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, 2445 + ... + 2474.

It is an arithmetic number, because the mean of its divisors is an integer number (14760).

2⁷³⁷⁸⁵ is an apocalyptic number.

It is an amenable number.

73785 is a deficient number, since it is larger than the sum of its proper divisors (44295).

73785 is a wasteful number, since it uses less digits than its factorization.

73785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927.

The product of its digits is 5880, while the sum is 30.

The square root of 73785 is about 271.6339448596. The cubic root of 73785 is about 41.9426655321.

It can be divided in two parts, 73 and 785, that added together give a palindrome (858).

The spelling of 73785 in words is "seventy-three thousand, seven hundred eighty-five".