66192 has 40 divisors (see below), whose sum is σ = 196416. Its totient is φ = 18816.

The previous prime is 66191. The next prime is 66221. The reversal of 66192 is 29166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66192.

It is not an unprimeable number, because it can be changed into a prime (66191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 238 + ... + 434.

2⁶⁶¹⁹² 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 66192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208).

66192 is an abundant number, since it is smaller than the sum of its proper divisors (130224).

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

66192 is a wasteful number, since it uses less digits than its factorization.

66192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 66192 is about 257.2780596942. The cubic root of 66192 is about 40.4515500493.

The spelling of 66192 in words is "sixty-six thousand, one hundred ninety-two".