192712 has 32 divisors (see below), whose sum is σ = 415800. Its totient is φ = 82944.

The previous prime is 192697. The next prime is 192737. The reversal of 192712 is 217291.

It can be written as a sum of positive squares in 4 ways, for example, as 171396 + 21316 = 414^2 + 146^2 .

It is an unprimeable number.

192712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1714 + ... + 1822.

2¹⁹²⁷¹² 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 192712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207900).

192712 is an abundant number, since it is smaller than the sum of its proper divisors (223088).

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

192712 is a wasteful number, since it uses less digits than its factorization.

192712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 192712 is about 438.9897493108. The cubic root of 192712 is about 57.7612060736.

The spelling of 192712 in words is "one hundred ninety-two thousand, seven hundred twelve".