66052 has 18 divisors (see below), whose sum is σ = 134862. Its totient is φ = 28224.

The previous prime is 66047. The next prime is 66067. The reversal of 66052 is 25066.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 15876 = 224^2 + 126^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28 + ... + 364.

2⁶⁶⁰⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67431).

66052 is an abundant number, since it is smaller than the sum of its proper divisors (68810).

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

66052 is a wasteful number, since it uses less digits than its factorization.

66052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 66052 is about 257.0058365096. The cubic root of 66052 is about 40.4230107777.

The spelling of 66052 in words is "sixty-six thousand, fifty-two", and thus it is an eban number.