172312 has 32 divisors (see below), whose sum is σ = 393120. Its totient is φ = 69120.

The previous prime is 172307. The next prime is 172313. The reversal of 172312 is 213271.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862 + ... + 1042.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2¹⁷²³¹² 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 172312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

172312 is an abundant number, since it is smaller than the sum of its proper divisors (220808).

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

172312 is a wasteful number, since it uses less digits than its factorization.

172312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 172312 is about 415.1048060430. The cubic root of 172312 is about 55.6465838050.

Adding to 172312 its reverse (213271), we get a palindrome (385583).

It can be divided in two parts, 172 and 312, that added together give a palindrome (484).

The spelling of 172312 in words is "one hundred seventy-two thousand, three hundred twelve", and thus it is an iban number.