66742 has 16 divisors (see below), whose sum is σ = 114912. Its totient is φ = 28800.

The previous prime is 66739. The next prime is 66749. The reversal of 66742 is 24766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 367 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2⁶⁶⁷⁴² is an apocalyptic number.

66742 is a deficient number, since it is larger than the sum of its proper divisors (48170).

66742 is a wasteful number, since it uses less digits than its factorization.

66742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183.

The product of its digits is 2016, while the sum is 25.

The square root of 66742 is about 258.3447309314. The cubic root of 66742 is about 40.5632806396.

It can be divided in two parts, 66 and 742, that added together give a palindrome (808).

The spelling of 66742 in words is "sixty-six thousand, seven hundred forty-two".