66752 has 28 divisors (see below), whose sum is σ = 152400. Its totient is φ = 28416.

The previous prime is 66751. The next prime is 66763. The reversal of 66752 is 25766.

It is a tau number, because it is divible by the number of its divisors (28).

It is a d-powerful number, because it can be written as 6² + 6⁶ + 7⁵ + 5⁵ + 2⁷ .

66752 is a Rhonda number in base 12.

Its product of digits (2520) is a multiple of the sum of its prime factors (168).

It is not an unprimeable number, because it can be changed into a prime (66751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 374 + ... + 522.

2⁶⁶⁷⁵² 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 66752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76200).

66752 is an abundant number, since it is smaller than the sum of its proper divisors (85648).

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

66752 is a wasteful number, since it uses less digits than its factorization.

66752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 66752 is about 258.3640841913. The cubic root of 66752 is about 40.5653064132.

It can be divided in two parts, 66 and 752, that added together give a palindrome (818).

The spelling of 66752 in words is "sixty-six thousand, seven hundred fifty-two".