72019222439112 has 224 divisors, whose sum is σ = 220035753214200. Its totient is φ = 21956457673728.

The previous prime is 72019222439081. The next prime is 72019222439249. The reversal of 72019222439112 is 21193422291027.

72019222439112 is a `hidden beast` number, since 7 + 2 + 0 + 192 + 22 + 439 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64565306844516 + 7453915594596 = 8035254^2 + 2730186^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3906508 + ... + 12621380.

Almost surely, 2^{72019222439112} is an apocalyptic number.

72019222439112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72019222439112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110017876607100).

72019222439112 is an abundant number, since it is smaller than the sum of its proper divisors (148016530775088).

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

72019222439112 is a wasteful number, since it uses less digits than its factorization.

72019222439112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8715019 (or 8715000 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 72019222439112 in words is "seventy-two trillion, nineteen billion, two hundred twenty-two million, four hundred thirty-nine thousand, one hundred twelve".