872168 has 48 divisors (see below), whose sum is σ = 1939140. Its totient is φ = 366080.

The previous prime is 872161. The next prime is 872173. The reversal of 872168 is 861278.

It can be written as a sum of positive squares in 2 ways, for example, as 813604 + 58564 = 902^2 + 242^2 .

It is not an unprimeable number, because it can be changed into a prime (872161) by changing a digit.

872168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16430 + ... + 16482.

2⁸⁷²¹⁶⁸ is an apocalyptic number.

872168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969570).

872168 is an abundant number, since it is smaller than the sum of its proper divisors (1066972).

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

872168 is a wasteful number, since it uses less digits than its factorization.

872168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 872168 is about 933.8993521788. The cubic root of 872168 is about 95.5432586383.

The spelling of 872168 in words is "eight hundred seventy-two thousand, one hundred sixty-eight".