8726112 has 72 divisors (see below), whose sum is σ = 25454520. Its totient is φ = 2833920.

The previous prime is 8726101. The next prime is 8726141. The reversal of 8726112 is 2116278.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×8726112² = 152290061273088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11439 + ... + 12177.

It is an arithmetic number, because the mean of its divisors is an integer number (353535).

Almost surely, 2^8726112 is an apocalyptic number.

8726112 is a gapful number since it is divisible by the number (82) 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 8726112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727260).

8726112 is an abundant number, since it is smaller than the sum of its proper divisors (16728408).

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

8726112 is a wasteful number, since it uses less digits than its factorization.

8726112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 8726112 is about 2953.9993229519. Note that the first 3 decimals coincide. The cubic root of 8726112 is about 205.8765716760.

The spelling of 8726112 in words is "eight million, seven hundred twenty-six thousand, one hundred twelve".