66736 has 20 divisors (see below), whose sum is σ = 133672. Its totient is φ = 32256.

The previous prime is 66733. The next prime is 66739. The reversal of 66736 is 63766.

It is an interprime number because it is at equal distance from previous prime (66733) and next prime (66739).

It is not an unprimeable number, because it can be changed into a prime (66733) by changing a digit.

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, 640 + ... + 736.

2⁶⁶⁷³⁶ is an apocalyptic number.

It is an amenable number.

66736 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66836).

66736 is a wasteful number, since it uses less digits than its factorization.

66736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its digits is 4536, while the sum is 28.

The square root of 66736 is about 258.3331182795. Note that the first 3 decimals coincide. The cubic root of 66736 is about 40.5620650783.

It can be divided in two parts, 667 and 36, that added together give a triangular number (703 = T₃₇).

The spelling of 66736 in words is "sixty-six thousand, seven hundred thirty-six".