8461872072 has 48 divisors (see below), whose sum is σ = 24123762000. Its totient is φ = 2672169696.

The previous prime is 8461872071. The next prime is 8461872079. The reversal of 8461872072 is 2702781648.

8461872072 is a `hidden beast` number, since 8 + 4 + 618 + 7 + 20 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (8461872071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3091422 + ... + 3094157.

It is an arithmetic number, because the mean of its divisors is an integer number (502578375).

Almost surely, 2^8461872072 is an apocalyptic number.

It is an amenable number.

8461872072 is an abundant number, since it is smaller than the sum of its proper divisors (15661889928).

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

8461872072 is a wasteful number, since it uses less digits than its factorization.

8461872072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6185610 (or 6185603 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8461872072 is about 91988.4344469456. The cubic root of 8461872072 is about 2037.7715053500.

The spelling of 8461872072 in words is "eight billion, four hundred sixty-one million, eight hundred seventy-two thousand, seventy-two".