72912831516 has 144 divisors (see below), whose sum is σ = 216493041856. Its totient is φ = 20253929472.

The previous prime is 72912831487. The next prime is 72912831533. The reversal of 72912831516 is 61513821927.

72912831516 is a `hidden beast` number, since 7 + 2 + 9 + 128 + 3 + 1 + 516 = 666.

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, 18804570 + ... + 18808446.

Almost surely, 2^72912831516 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 72912831516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108246520928).

72912831516 is an abundant number, since it is smaller than the sum of its proper divisors (143580210340).

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

72912831516 is a wasteful number, since it uses less digits than its factorization.

72912831516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5943 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 72912831516 in words is "seventy-two billion, nine hundred twelve million, eight hundred thirty-one thousand, five hundred sixteen".