172220067 has 64 divisors (see below), whose sum is σ = 281318400. Its totient is φ = 103783680.

The previous prime is 172220063. The next prime is 172220093. The reversal of 172220067 is 760022271.

It is not a de Polignac number, because 172220067 - 2² = 172220063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 172220067.

It is not an unprimeable number, because it can be changed into a prime (172220063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1314592 + ... + 1314722.

It is an arithmetic number, because the mean of its divisors is an integer number (4395600).

Almost surely, 2^172220067 is an apocalyptic number.

172220067 is a deficient number, since it is larger than the sum of its proper divisors (109098333).

172220067 is a wasteful number, since it uses less digits than its factorization.

172220067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 172220067 is about 13123.2643423807. The cubic root of 172220067 is about 556.3668573745.

The spelling of 172220067 in words is "one hundred seventy-two million, two hundred twenty thousand, sixty-seven".