8072155206 has 96 divisors (see below), whose sum is σ = 18738720000. Its totient is φ = 2503980864.

The previous prime is 8072155199. The next prime is 8072155207. The reversal of 8072155206 is 6025512708.

It is a happy number.

8072155206 is a `hidden beast` number, since 80 + 7 + 21 + 552 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072155207) 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 47 ways as a sum of consecutive naturals, for example, 5648100 + ... + 5649528.

It is an arithmetic number, because the mean of its divisors is an integer number (195195000).

Almost surely, 2^8072155206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8072155206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369360000).

8072155206 is an abundant number, since it is smaller than the sum of its proper divisors (10666564794).

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

8072155206 is a wasteful number, since it uses less digits than its factorization.

8072155206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8072155206 is about 89845.1735264616. The cubic root of 8072155206 is about 2005.9949461889.

The spelling of 8072155206 in words is "eight billion, seventy-two million, one hundred fifty-five thousand, two hundred six".