8082072 has 128 divisors (see below), whose sum is σ = 24883200. Its totient is φ = 2419200.

The previous prime is 8082037. The next prime is 8082077. The reversal of 8082072 is 2702808.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113797 + ... + 113867.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 2^8082072 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 8082072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12441600).

8082072 is an abundant number, since it is smaller than the sum of its proper divisors (16801128).

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

8082072 is a wasteful number, since it uses less digits than its factorization.

8082072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 124 counting only the distinct ones).

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

The square root of 8082072 is about 2842.8985208762. The cubic root of 8082072 is about 200.6816077488.

The spelling of 8082072 in words is "eight million, eighty-two thousand, seventy-two".