72031333068 has 108 divisors (see below), whose sum is σ = 188740526520. Its totient is φ = 23156220672.

The previous prime is 72031333061. The next prime is 72031333079. The reversal of 72031333068 is 86033313027.

It is a happy number.

72031333068 is a `hidden beast` number, since 7 + 2 + 0 + 313 + 330 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72031333061) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5960280 + ... + 5972352.

Almost surely, 2^72031333068 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 72031333068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94370263260).

72031333068 is an abundant number, since it is smaller than the sum of its proper divisors (116709193452).

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

72031333068 is a wasteful number, since it uses less digits than its factorization.

72031333068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12248 (or 12190 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 72031333068 in words is "seventy-two billion, thirty-one million, three hundred thirty-three thousand, sixty-eight".