72048727584 has 120 divisors (see below), whose sum is σ = 212683072140. Its totient is φ = 23926731264.

The previous prime is 72048727573. The next prime is 72048727589. The reversal of 72048727584 is 48572784027.

It can be written as a sum of positive squares in 2 ways, for example, as 72027824400 + 20903184 = 268380^2 + 4572^2 .

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 72048727584.

It is not an unprimeable number, because it can be changed into a prime (72048727589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 645582 + ... + 748914.

Almost surely, 2^72048727584 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 72048727584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106341536070).

72048727584 is an abundant number, since it is smaller than the sum of its proper divisors (140634344556).

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

72048727584 is a wasteful number, since it uses less digits than its factorization.

72048727584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103624 (or 103607 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 72048727584 in words is "seventy-two billion, forty-eight million, seven hundred twenty-seven thousand, five hundred eighty-four".