72833238181 has 4 divisors (see below), whose sum is σ = 79454441664. Its totient is φ = 66212034700.

The previous prime is 72833238139. The next prime is 72833238197. The reversal of 72833238181 is 18183233827.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72833238181 - 2¹⁹ = 72832713893 is a prime.

It is a super-3 number, since 3×72833238181³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72833238481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3310601725 + ... + 3310601746.

It is an arithmetic number, because the mean of its divisors is an integer number (19863610416).

Almost surely, 2^72833238181 is an apocalyptic number.

It is an amenable number.

72833238181 is a deficient number, since it is larger than the sum of its proper divisors (6621203483).

72833238181 is a wasteful number, since it uses less digits than its factorization.

72833238181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621203482.

The product of its digits is 387072, while the sum is 46.

It can be divided in two parts, 72 and 833238181, that added together give a triangular number (833238253 = T₄₀₈₂₂).

The spelling of 72833238181 in words is "seventy-two billion, eight hundred thirty-three million, two hundred thirty-eight thousand, one hundred eighty-one".