172222176 has 96 divisors (see below), whose sum is σ = 519402240. Its totient is φ = 48946176.

The previous prime is 172222151. The next prime is 172222243. The reversal of 172222176 is 671222271.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151980 + ... + 153108.

It is an arithmetic number, because the mean of its divisors is an integer number (5410440).

Almost surely, 2^172222176 is an apocalyptic number.

172222176 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 172222176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259701120).

172222176 is an abundant number, since it is smaller than the sum of its proper divisors (347180064).

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

172222176 is a wasteful number, since it uses less digits than its factorization.

172222176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1368 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 172222176 is about 13123.3446956178. The cubic root of 172222176 is about 556.3691284473.

The spelling of 172222176 in words is "one hundred seventy-two million, two hundred twenty-two thousand, one hundred seventy-six".