172323216 has 180 divisors, whose sum is σ = 534827748. Its totient is φ = 51757056.

The previous prime is 172323211. The next prime is 172323233. The reversal of 172323216 is 612323271.

It can be written as a sum of positive squares in 6 ways, for example, as 23970816 + 148352400 = 4896^2 + 12180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 172323216.

It is not an unprimeable number, because it can be changed into a prime (172323211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1776480 + ... + 1776576.

Almost surely, 2^172323216 is an apocalyptic number.

172323216 is a gapful number since it is divisible by the number (16) 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 172323216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267413874).

172323216 is an abundant number, since it is smaller than the sum of its proper divisors (362504532).

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

172323216 is a wasteful number, since it uses less digits than its factorization.

172323216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 188 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 172323216 is about 13127.1937595207. The cubic root of 172323216 is about 556.4779114701.

Adding to 172323216 its reverse (612323271), we get a palindrome (784646487).

The spelling of 172323216 in words is "one hundred seventy-two million, three hundred twenty-three thousand, two hundred sixteen".