72308288832 has 224 divisors, whose sum is σ = 208213415424. Its totient is φ = 22014720000.

The previous prime is 72308288729. The next prime is 72308288837. The reversal of 72308288832 is 23888280327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72308288837) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 132190383 + ... + 132190929.

It is an arithmetic number, because the mean of its divisors is an integer number (929524176).

Almost surely, 2^72308288832 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 72308288832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104106707712).

72308288832 is an abundant number, since it is smaller than the sum of its proper divisors (135905126592).

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

72308288832 is a wasteful number, since it uses less digits than its factorization.

72308288832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 72308288832 in words is "seventy-two billion, three hundred eight million, two hundred eighty-eight thousand, eight hundred thirty-two".