8072082 has 32 divisors (see below), whose sum is σ = 18164160. Its totient is φ = 2656800.

The previous prime is 8072041. The next prime is 8072087. The reversal of 8072082 is 2802708.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8072087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3582 + ... + 5382.

It is an arithmetic number, because the mean of its divisors is an integer number (567630).

Almost surely, 2^8072082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082080).

8072082 is an abundant number, since it is smaller than the sum of its proper divisors (10092078).

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

8072082 is a wasteful number, since it uses less digits than its factorization.

8072082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8072082 is about 2841.1409679916. The cubic root of 8072082 is about 200.5988882079.

The spelling of 8072082 in words is "eight million, seventy-two thousand, eighty-two".