72215548422912 has 432 divisors, whose sum is σ = 227705676962400. Its totient is φ = 21923943874560.

The previous prime is 72215548422907. The next prime is 72215548422917. The reversal of 72215548422912 is 21922484551227.

72215548422912 is a `hidden beast` number, since 7 + 2 + 2 + 1 + 5 + 548 + 4 + 2 + 2 + 91 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72215548422907) and next prime (72215548422917).

It is not an unprimeable number, because it can be changed into a prime (72215548422917) 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, 295672362 + ... + 295916502.

It is an arithmetic number, because the mean of its divisors is an integer number (527096474450).

Almost surely, 2^{72215548422912} is an apocalyptic number.

72215548422912 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 72215548422912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113852838481200).

72215548422912 is an abundant number, since it is smaller than the sum of its proper divisors (155490128539488).

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

72215548422912 is a wasteful number, since it uses less digits than its factorization.

72215548422912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244444 (or 244427 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 72215548422912 in words is "seventy-two trillion, two hundred fifteen billion, five hundred forty-eight million, four hundred twenty-two thousand, nine hundred twelve".