172608 has 56 divisors (see below), whose sum is σ = 487680. Its totient is φ = 53760.

The previous prime is 172607. The next prime is 172619. The reversal of 172608 is 806271.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (172603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5553 + ... + 5583.

2¹⁷²⁶⁰⁸ 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 172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243840).

172608 is an abundant number, since it is smaller than the sum of its proper divisors (315072).

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

172608 is a wasteful number, since it uses less digits than its factorization.

172608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 172608 is about 415.4611895232. The cubic root of 172608 is about 55.6784290745.

Adding to 172608 its reverse (806271), we get a palindrome (978879).

It can be divided in two parts, 172 and 608, that added together give a triangular number (780 = T₃₉).

The spelling of 172608 in words is "one hundred seventy-two thousand, six hundred eight".