66712 has 16 divisors (see below), whose sum is σ = 129600. Its totient is φ = 32160.

The previous prime is 66701. The next prime is 66713. The reversal of 66712 is 21766.

It is an Ulam number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66713) by changing a digit.

66712 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 114 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁶⁶⁷¹² is an apocalyptic number.

66712 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

66712 is a deficient number, since it is larger than the sum of its proper divisors (62888).

66712 is a wasteful number, since it uses less digits than its factorization.

66712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 66712 is about 258.2866624509. The cubic root of 66712 is about 40.5572021044.

The spelling of 66712 in words is "sixty-six thousand, seven hundred twelve".