162792 has 96 divisors (see below), whose sum is σ = 561600. Its totient is φ = 41472.

The previous prime is 162791. The next prime is 162821. The reversal of 162792 is 297261.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 162792.

It is not an unprimeable number, because it can be changed into a prime (162791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8559 + ... + 8577.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2¹⁶²⁷⁹² is an apocalyptic number.

162792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280800).

162792 is an abundant number, since it is smaller than the sum of its proper divisors (398808).

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

162792 is a wasteful number, since it uses less digits than its factorization.

162792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 48 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 162792 is about 403.4749062829. The cubic root of 162792 is about 54.6023104122.

The spelling of 162792 in words is "one hundred sixty-two thousand, seven hundred ninety-two".