72011678913 has 20 divisors (see below), whose sum is σ = 107594040708. Its totient is φ = 47998396800.

The previous prime is 72011678911. The next prime is 72011678923. The reversal of 72011678913 is 31987611027.

72011678913 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 2 ways, for example, as 34279781904 + 37731897009 = 185148^2 + 194247^2 .

It is not a de Polignac number, because 72011678913 - 2¹ = 72011678911 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72011678911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 342813 + ... + 511413.

Almost surely, 2^72011678913 is an apocalyptic number.

It is an amenable number.

72011678913 is a deficient number, since it is larger than the sum of its proper divisors (35582361795).

72011678913 is a wasteful number, since it uses less digits than its factorization.

72011678913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173886 (or 173877 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 72011678913 in words is "seventy-two billion, eleven million, six hundred seventy-eight thousand, nine hundred thirteen".