72114437233 has 16 divisors (see below), whose sum is σ = 74245248000. Its totient is φ = 70001854720.

The previous prime is 72114437207. The next prime is 72114437251. The reversal of 72114437233 is 33273441127.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72114437233 - 2²¹ = 72112340081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72114437192 and 72114437201.

It is not an unprimeable number, because it can be changed into a prime (72114435233) 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, 15509493 + ... + 15514141.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328000).

Almost surely, 2^72114437233 is an apocalyptic number.

It is an amenable number.

72114437233 is a deficient number, since it is larger than the sum of its proper divisors (2130810767).

72114437233 is a wasteful number, since it uses less digits than its factorization.

72114437233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512.

The product of its digits is 84672, while the sum is 37.

It can be divided in two parts, 7211 and 4437233, that added together give a palindrome (4444444).

The spelling of 72114437233 in words is "seventy-two billion, one hundred fourteen million, four hundred thirty-seven thousand, two hundred thirty-three".