8007291072 has 448 divisors, whose sum is σ = 26966753280. Its totient is φ = 2307916800.

The previous prime is 8007291059. The next prime is 8007291073. The reversal of 8007291072 is 2701927008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8007291073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63049473 + ... + 63049599.

Almost surely, 2^8007291072 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 8007291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13483376640).

8007291072 is an abundant number, since it is smaller than the sum of its proper divisors (18959462208).

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

8007291072 is a wasteful number, since it uses less digits than its factorization.

8007291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 8007291072 is about 89483.4681491503. The cubic root of 8007291072 is about 2000.6074048443.

The spelling of 8007291072 in words is "eight billion, seven million, two hundred ninety-one thousand, seventy-two".