72867121344 has 224 divisors, whose sum is σ = 216491271360. Its totient is φ = 24032526336.

The previous prime is 72867121343. The next prime is 72867121351. The reversal of 72867121344 is 44312176827.

72867121344 is a `hidden beast` number, since 7 + 286 + 7 + 1 + 21 + 344 = 666.

It is a super-2 number, since 2×72867121344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72867121344.

It is not an unprimeable number, because it can be changed into a prime (72867121343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91426354 + ... + 91427150.

It is an arithmetic number, because the mean of its divisors is an integer number (966478890).

Almost surely, 2^72867121344 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 72867121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108245635680).

72867121344 is an abundant number, since it is smaller than the sum of its proper divisors (143624150016).

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

72867121344 is a wasteful number, since it uses less digits than its factorization.

72867121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1296 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 72867121344 in words is "seventy-two billion, eight hundred sixty-seven million, one hundred twenty-one thousand, three hundred forty-four".