172212 has 24 divisors (see below), whose sum is σ = 408576. Its totient is φ = 56448.

The previous prime is 172199. The next prime is 172213. The reversal of 172212 is 212271.

It is a junction number, because it is equal to n+sod(n) for n = 172191 and 172200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172213) by changing a digit.

172212 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1293 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (17024).

2¹⁷²²¹² is an apocalyptic number.

172212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

172212 is the 339-th pentagonal number.

It is an amenable number.

172212 is an abundant number, since it is smaller than the sum of its proper divisors (236364).

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

172212 is a wasteful number, since it uses less digits than its factorization.

172212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its digits is 56, while the sum is 15.

The square root of 172212 is about 414.9843370538. The cubic root of 172212 is about 55.6358170269.

Adding to 172212 its reverse (212271), we get a palindrome (384483).

The spelling of 172212 in words is "one hundred seventy-two thousand, two hundred twelve", and thus it is an iban number.