72333503720 has 64 divisors (see below), whose sum is σ = 167220640080. Its totient is φ = 28139360256.

The previous prime is 72333503719. The next prime is 72333503729. The reversal of 72333503720 is 2730533327.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17668258084 + 54665245636 = 132922^2 + 233806^2 .

It is a super-2 number, since 2×72333503720² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72333503729) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3952832 + ... + 3971088.

Almost surely, 2^72333503720 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 72333503720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83610320040).

72333503720 is an abundant number, since it is smaller than the sum of its proper divisors (94887136360).

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

72333503720 is a wasteful number, since it uses less digits than its factorization.

72333503720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20982 (or 20978 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 35.

The spelling of 72333503720 in words is "seventy-two billion, three hundred thirty-three million, five hundred three thousand, seven hundred twenty".