162107712 has 84 divisors (see below), whose sum is σ = 500418100. Its totient is φ = 49876992.

The previous prime is 162107663. The next prime is 162107719. The reversal of 162107712 is 217701261.

It can be written as a sum of positive squares in 2 ways, for example, as 40755456 + 121352256 = 6384^2 + 11016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162107719) 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, 3337 + ... + 18312.

Almost surely, 2^162107712 is an apocalyptic number.

162107712 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 162107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250209050).

162107712 is an abundant number, since it is smaller than the sum of its proper divisors (338310388).

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

162107712 is a wasteful number, since it uses less digits than its factorization.

162107712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21680 (or 21667 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 162107712 is about 12732.1526852296. The cubic root of 162107712 is about 545.2569694118.

Adding to 162107712 its reverse (217701261), we get a palindrome (379808973).

The spelling of 162107712 in words is "one hundred sixty-two million, one hundred seven thousand, seven hundred twelve".