72784272384 has 220 divisors, whose sum is σ = 224850258600. Its totient is φ = 23424049152.

The previous prime is 72784272383. The next prime is 72784272523. The reversal of 72784272384 is 48327248727.

72784272384 is a `hidden beast` number, since 72 + 78 + 427 + 2 + 3 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 72784272384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72784272383) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2390247 + ... + 2420505.

It is an arithmetic number, because the mean of its divisors is an integer number (1022046630).

Almost surely, 2^72784272384 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 72784272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112425129300).

72784272384 is an abundant number, since it is smaller than the sum of its proper divisors (152065986216).

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

72784272384 is a wasteful number, since it uses less digits than its factorization.

72784272384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30320 (or 30293 counting only the distinct ones).

The product of its digits is 8429568, while the sum is 54.

The spelling of 72784272384 in words is "seventy-two billion, seven hundred eighty-four million, two hundred seventy-two thousand, three hundred eighty-four".