8005712 has 40 divisors (see below), whose sum is σ = 18228000. Its totient is φ = 3358080.

The previous prime is 8005693. The next prime is 8005717. The reversal of 8005712 is 2175008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005717) 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, 539 + ... + 4037.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^8005712 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 8005712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114000).

8005712 is an abundant number, since it is smaller than the sum of its proper divisors (10222288).

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

8005712 is a wasteful number, since it uses less digits than its factorization.

8005712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 8005712 is about 2829.4366930539. The cubic root of 8005712 is about 200.0475886757.

The spelling of 8005712 in words is "eight million, five thousand, seven hundred twelve".