172326 has 32 divisors (see below), whose sum is σ = 430848. Its totient is φ = 44640.

The previous prime is 172321. The next prime is 172331. The reversal of 172326 is 623271.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (172321) and next prime (172331).

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172321) by changing a digit.

172326 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 15 ways as a sum of consecutive naturals, for example, 276 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (13464).

2¹⁷²³²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 172326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215424).

172326 is an abundant number, since it is smaller than the sum of its proper divisors (258522).

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

172326 is a wasteful number, since it uses less digits than its factorization.

172326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396.

The product of its digits is 504, while the sum is 21.

The square root of 172326 is about 415.1216689117. The cubic root of 172326 is about 55.6480908215.

Adding to 172326 its reverse (623271), we get a palindrome (795597).

It can be divided in two parts, 1 and 72326, that added together give a palindrome (72327).

The spelling of 172326 in words is "one hundred seventy-two thousand, three hundred twenty-six".