172112 has 20 divisors (see below), whose sum is σ = 345216. Its totient is φ = 83040.

The previous prime is 172097. The next prime is 172127. The reversal of 172112 is 211271.

It is an interprime number because it is at equal distance from previous prime (172097) and next prime (172127).

172112 is an admirable number.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

172112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323 + ... + 669.

2¹⁷²¹¹² 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 172112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172608).

172112 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

172112 is a wasteful number, since it uses less digits than its factorization.

172112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 28, while the sum is 14.

The square root of 172112 is about 414.8638330826. The cubic root of 172112 is about 55.6250460800.

Adding to 172112 its reverse (211271), we get a palindrome (383383).

The spelling of 172112 in words is "one hundred seventy-two thousand, one hundred twelve", and thus it is an iban number.