73766 has 16 divisors (see below), whose sum is σ = 138240. Its totient is φ = 28680.

The previous prime is 73757. The next prime is 73771. The reversal of 73766 is 66737.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (8640).

2⁷³⁷⁶⁶ is an apocalyptic number.

73766 is a deficient number, since it is larger than the sum of its proper divisors (64474).

73766 is a wasteful number, since it uses less digits than its factorization.

73766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499.

The product of its digits is 5292, while the sum is 29.

The square root of 73766 is about 271.5989690702. The cubic root of 73766 is about 41.9390650756.

Subtracting from 73766 its sum of digits (29), we obtain a palindrome (73737).

It can be divided in two parts, 7 and 3766, that multiplied together give a palindrome (26362).

The spelling of 73766 in words is "seventy-three thousand, seven hundred sixty-six".