72568390191912 has 192 divisors, whose sum is σ = 205591525776000. Its totient is φ = 23979897227520.

The previous prime is 72568390191907. The next prime is 72568390191967. The reversal of 72568390191912 is 21919109386527.

72568390191912 is a `hidden beast` number, since 7 + 2 + 56 + 8 + 390 + 1 + 9 + 191 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72568390191912.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111215589 + ... + 111866187.

It is an arithmetic number, because the mean of its divisors is an integer number (1070789196750).

Almost surely, 2^{72568390191912} is an apocalyptic number.

72568390191912 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 72568390191912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102795762888000).

72568390191912 is an abundant number, since it is smaller than the sum of its proper divisors (133023135584088).

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

72568390191912 is a wasteful number, since it uses less digits than its factorization.

72568390191912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651118 (or 651102 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 72568390191912 in words is "seventy-two trillion, five hundred sixty-eight billion, three hundred ninety million, one hundred ninety-one thousand, nine hundred twelve".