172205968 has 80 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 70899840.

The previous prime is 172205959. The next prime is 172205981. The reversal of 172205968 is 869502271.

It is a self number, because there is not a number n which added to its sum of digits gives 172205968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75793 + ... + 78031.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^172205968 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 172205968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

172205968 is an abundant number, since it is smaller than the sum of its proper divisors (227768432).

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

172205968 is a wasteful number, since it uses less digits than its factorization.

172205968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 172205968 is about 13122.7271555877. The cubic root of 172205968 is about 556.3516744160.

The spelling of 172205968 in words is "one hundred seventy-two million, two hundred five thousand, nine hundred sixty-eight".