8082272 has 24 divisors (see below), whose sum is σ = 17359272. Its totient is φ = 3673600.

The previous prime is 8082257. The next prime is 8082287. The reversal of 8082272 is 2722808.

8082272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8082257) and next prime (8082287).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11129 + ... + 11832.

It is an arithmetic number, because the mean of its divisors is an integer number (723303).

Almost surely, 2^8082272 is an apocalyptic number.

It is an amenable number.

8082272 is an abundant number, since it is smaller than the sum of its proper divisors (9277000).

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

8082272 is a wasteful number, since it uses less digits than its factorization.

8082272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22982 (or 22974 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 8082272 is about 2842.9336960260. The cubic root of 8082272 is about 200.6832630995.

The spelling of 8082272 in words is "eight million, eighty-two thousand, two hundred seventy-two".