8306272 has 48 divisors (see below), whose sum is σ = 18077472. Its totient is φ = 3732480.

The previous prime is 8306261. The next prime is 8306273. The reversal of 8306272 is 2726038.

It is a self number, because there is not a number n which added to its sum of digits gives 8306272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8306273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16813 + ... + 17299.

It is an arithmetic number, because the mean of its divisors is an integer number (376614).

Almost surely, 2^8306272 is an apocalyptic number.

8306272 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 8306272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9038736).

8306272 is an abundant number, since it is smaller than the sum of its proper divisors (9771200).

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

8306272 is a wasteful number, since it uses less digits than its factorization.

8306272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 8306272 is about 2882.0603741074. The cubic root of 8306272 is about 202.5203718772.

The spelling of 8306272 in words is "eight million, three hundred six thousand, two hundred seventy-two".