8005251072 has 208 divisors, whose sum is σ = 26274106880. Its totient is φ = 2110980096.

The previous prime is 8005251043. The next prime is 8005251073. The reversal of 8005251072 is 2701525008.

It is a tau number, because it is divible by the number of its divisors (208).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005251073) 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, 1114629 + ... + 1121787.

Almost surely, 2^8005251072 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 8005251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13137053440).

8005251072 is an abundant number, since it is smaller than the sum of its proper divisors (18268855808).

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

8005251072 is a wasteful number, since it uses less digits than its factorization.

8005251072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 8005251072 is about 89472.0686695015. The cubic root of 8005251072 is about 2000.4374936260.

The spelling of 8005251072 in words is "eight billion, five million, two hundred fifty-one thousand, seventy-two".