72724151808 has 480 divisors, whose sum is σ = 270463522560. Its totient is φ = 18886348800.

The previous prime is 72724151779. The next prime is 72724151827. The reversal of 72724151808 is 80815142727.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11705823 + ... + 11712033.

It is an arithmetic number, because the mean of its divisors is an integer number (563465672).

Almost surely, 2^72724151808 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 72724151808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135231761280).

72724151808 is an abundant number, since it is smaller than the sum of its proper divisors (197739370752).

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

72724151808 is a wasteful number, since it uses less digits than its factorization.

72724151808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6267 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 72724151808 in words is "seventy-two billion, seven hundred twenty-four million, one hundred fifty-one thousand, eight hundred eight".