172216 has 32 divisors (see below), whose sum is σ = 374400. Its totient is φ = 73440.

The previous prime is 172213. The next prime is 172217. The reversal of 172216 is 612271.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 172193 and 172202.

It is a congruent number.

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

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, 1621 + ... + 1723.

It is an arithmetic number, because the mean of its divisors is an integer number (11700).

2¹⁷²²¹⁶ 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 172216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200).

172216 is an abundant number, since it is smaller than the sum of its proper divisors (202184).

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

172216 is a wasteful number, since it uses less digits than its factorization.

172216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 135 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 172216 is about 414.9891564848. The cubic root of 172216 is about 55.6362477781.

Adding to 172216 its reverse (612271), we get a palindrome (784487).

The spelling of 172216 in words is "one hundred seventy-two thousand, two hundred sixteen".