8211186072 has 192 divisors, whose sum is σ = 24020755200. Its totient is φ = 2526163200.

The previous prime is 8211186041. The next prime is 8211186079. The reversal of 8211186072 is 2706811128.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8211186079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9256813 + ... + 9257699.

It is an arithmetic number, because the mean of its divisors is an integer number (125108100).

Almost surely, 2^8211186072 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 8211186072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12010377600).

8211186072 is an abundant number, since it is smaller than the sum of its proper divisors (15809569128).

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

8211186072 is a wasteful number, since it uses less digits than its factorization.

8211186072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 8211186072 is about 90615.5950816414. The cubic root of 8211186072 is about 2017.4462116734.

The spelling of 8211186072 in words is "eight billion, two hundred eleven million, one hundred eighty-six thousand, seventy-two".