72719851344 has 160 divisors (see below), whose sum is σ = 216090336000. Its totient is φ = 20642660352.

The previous prime is 72719851261. The next prime is 72719851357. The reversal of 72719851344 is 44315891727.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59169322 + ... + 59170550.

It is an arithmetic number, because the mean of its divisors is an integer number (1350564600).

Almost surely, 2^72719851344 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 72719851344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108045168000).

72719851344 is an abundant number, since it is smaller than the sum of its proper divisors (143370484656).

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

72719851344 is a wasteful number, since it uses less digits than its factorization.

72719851344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245 (or 2239 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The spelling of 72719851344 in words is "seventy-two billion, seven hundred nineteen million, eight hundred fifty-one thousand, three hundred forty-four".