8201475072 has 352 divisors, whose sum is σ = 28675031040. Its totient is φ = 2266030080.

The previous prime is 8201475049. The next prime is 8201475109. The reversal of 8201475072 is 2705741028.

8201475072 is a `hidden beast` number, since 8 + 2 + 0 + 147 + 507 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5998933 + ... + 6000299.

Almost surely, 2^8201475072 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 8201475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337515520).

8201475072 is an abundant number, since it is smaller than the sum of its proper divisors (20473555968).

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

8201475072 is a wasteful number, since it uses less digits than its factorization.

8201475072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 8201475072 is about 90561.9957377265. The cubic root of 8201475072 is about 2016.6505836782.

The spelling of 8201475072 in words is "eight billion, two hundred one million, four hundred seventy-five thousand, seventy-two".