172981168 has 40 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 81576000.

The previous prime is 172981153. The next prime is 172981181. The reversal of 172981168 is 861189271.

It is a happy number.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75171 + ... + 77437.

It is an arithmetic number, because the mean of its divisors is an integer number (8858808).

Almost surely, 2^172981168 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 172981168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

172981168 is an abundant number, since it is smaller than the sum of its proper divisors (181371152).

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

172981168 is a wasteful number, since it uses less digits than its factorization.

172981168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2539 counting only the distinct ones).

The product of its digits is 48384, while the sum is 43.

The square root of 172981168 is about 13152.2305332594. The cubic root of 172981168 is about 557.1852465290.

The spelling of 172981168 in words is "one hundred seventy-two million, nine hundred eighty-one thousand, one hundred sixty-eight".