8126272 has 112 divisors (see below), whose sum is σ = 21506688. Its totient is φ = 2949120.

The previous prime is 8126263. The next prime is 8126297. The reversal of 8126272 is 2726218.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 8126272.

It is a congruent number.

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, 83728 + ... + 83824.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 2^8126272 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 8126272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753344).

8126272 is an abundant number, since it is smaller than the sum of its proper divisors (13380416).

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

8126272 is a wasteful number, since it uses less digits than its factorization.

8126272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 8126272 is about 2850.6616775759. The cubic root of 8126272 is about 201.0467783834.

The spelling of 8126272 in words is "eight million, one hundred twenty-six thousand, two hundred seventy-two".