8212419072 has 480 divisors, whose sum is σ = 28347935616. Its totient is φ = 2274877440.

The previous prime is 8212419071. The next prime is 8212419107. The reversal of 8212419072 is 2709142128.

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 (8212419071) 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, 79732173 + ... + 79732275.

Almost surely, 2^8212419072 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 8212419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14173967808).

8212419072 is an abundant number, since it is smaller than the sum of its proper divisors (20135516544).

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

8212419072 is a wasteful number, since it uses less digits than its factorization.

8212419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8212419072 is about 90622.3982909303. The cubic root of 8212419072 is about 2017.5471872068.

The spelling of 8212419072 in words is "eight billion, two hundred twelve million, four hundred nineteen thousand, seventy-two".