73755 has 24 divisors (see below), whose sum is σ = 140400. Its totient is φ = 35520.

The previous prime is 73751. The next prime is 73757. The reversal of 73755 is 55737.

73755 = 6² + 7² + ... + 60².

It is not a de Polignac number, because 73755 - 2² = 73751 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73755.

It is not an unprimeable number, because it can be changed into a prime (73751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 421 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2⁷³⁷⁵⁵ is an apocalyptic number.

73755 is a deficient number, since it is larger than the sum of its proper divisors (66645).

73755 is a wasteful number, since it uses less digits than its factorization.

73755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 168 counting only the distinct ones).

The product of its digits is 3675, while the sum is 27.

The square root of 73755 is about 271.5787178702. The cubic root of 73755 is about 41.9369803182.

It can be divided in two parts, 73 and 755, that added together give a palindrome (828).

The spelling of 73755 in words is "seventy-three thousand, seven hundred fifty-five".