8172112 has 40 divisors (see below), whose sum is σ = 17264520. Its totient is φ = 3724800.

The previous prime is 8172103. The next prime is 8172119. The reversal of 8172112 is 2112718.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 7203856 = 984^2 + 2684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8172119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20814 + ... + 21202.

It is an arithmetic number, because the mean of its divisors is an integer number (431613).

Almost surely, 2^8172112 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 8172112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632260).

8172112 is an abundant number, since it is smaller than the sum of its proper divisors (9092408).

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

8172112 is a wasteful number, since it uses less digits than its factorization.

8172112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 224, while the sum is 22.

The square root of 8172112 is about 2858.6906093525. The cubic root of 8172112 is about 201.4241022623.

The spelling of 8172112 in words is "eight million, one hundred seventy-two thousand, one hundred twelve".