66792 has 48 divisors (see below), whose sum is σ = 191520. Its totient is φ = 19360.

The previous prime is 66791. The next prime is 66797. The reversal of 66792 is 29766.

It is a super-2 number, since 2×66792² = 8922342528, which contains 22 as substring.

Its product of digits (4536) is a multiple of the sum of its prime factors (54).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2893 + ... + 2915.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

2⁶⁶⁷⁹² 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 66792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760).

66792 is an abundant number, since it is smaller than the sum of its proper divisors (124728).

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

66792 is a wasteful number, since it uses less digits than its factorization.

66792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 39 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 66792 is about 258.4414827384. The cubic root of 66792 is about 40.5734074851.

It can be divided in two parts, 66 and 792, that added together give a palindrome (858).

The spelling of 66792 in words is "sixty-six thousand, seven hundred ninety-two".