72133302233 has 8 divisors (see below), whose sum is σ = 74089067400. Its totient is φ = 70177864320.

The previous prime is 72133302223. The next prime is 72133302253. The reversal of 72133302233 is 33220333127.

It can be written as a sum of positive squares in 4 ways, for example, as 37182251929 + 34951050304 = 192827^2 + 186952^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72133302233 - 2⁶ = 72133302169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72133302196 and 72133302205.

It is not an unprimeable number, because it can be changed into a prime (72133302223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 403493 + ... + 554141.

It is an arithmetic number, because the mean of its divisors is an integer number (9261133425).

Almost surely, 2^72133302233 is an apocalyptic number.

It is an amenable number.

72133302233 is a deficient number, since it is larger than the sum of its proper divisors (1955765167).

72133302233 is a wasteful number, since it uses less digits than its factorization.

72133302233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163627.

The product of its (nonzero) digits is 13608, while the sum is 29.

The spelling of 72133302233 in words is "seventy-two billion, one hundred thirty-three million, three hundred two thousand, two hundred thirty-three".