172267216 has 60 divisors (see below), whose sum is σ = 370921572. Its totient is φ = 77440000.

The previous prime is 172267201. The next prime is 172267219. The reversal of 172267216 is 612762271.

It can be written as a sum of positive squares in 2 ways, for example, as 106007616 + 66259600 = 10296^2 + 8140^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172267219) 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 11 ways as a sum of consecutive naturals, for example, 195096 + ... + 195976.

Almost surely, 2^172267216 is an apocalyptic number.

172267216 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 172267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185460786).

172267216 is an abundant number, since it is smaller than the sum of its proper divisors (198654356).

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

172267216 is a wasteful number, since it uses less digits than its factorization.

172267216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 995 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 172267216 is about 13125.0606093839. The cubic root of 172267216 is about 556.4176252629.

It can be divided in two parts, 17226 and 7216, that added together give a palindrome (24442).

The spelling of 172267216 in words is "one hundred seventy-two million, two hundred sixty-seven thousand, two hundred sixteen".