172768 has 12 divisors (see below), whose sum is σ = 340200. Its totient is φ = 86368.

The previous prime is 172759. The next prime is 172787. The reversal of 172768 is 867271.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 2668 + ... + 2731.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2¹⁷²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

172768 is a deficient number, since it is larger than the sum of its proper divisors (167432).

172768 is an equidigital number, since it uses as much as digits as its factorization.

172768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5401 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 172768 is about 415.6537020165. The cubic root of 172768 is about 55.6956275771.

The spelling of 172768 in words is "one hundred seventy-two thousand, seven hundred sixty-eight".