72483740784 has 240 divisors, whose sum is σ = 260641547040. Its totient is φ = 19116518400.

The previous prime is 72483740753. The next prime is 72483740801. The reversal of 72483740784 is 48704738427.

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 72483740784.

It is a congruent number.

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, 143484 + ... + 406884.

It is an arithmetic number, because the mean of its divisors is an integer number (1086006446).

Almost surely, 2^72483740784 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 72483740784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130320773520).

72483740784 is an abundant number, since it is smaller than the sum of its proper divisors (188157806256).

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

72483740784 is a wasteful number, since it uses less digits than its factorization.

72483740784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263445 (or 263426 counting only the distinct ones).

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

The spelling of 72483740784 in words is "seventy-two billion, four hundred eighty-three million, seven hundred forty thousand, seven hundred eighty-four".