72106931241 has 32 divisors (see below), whose sum is σ = 111956640000. Its totient is φ = 45780349824.

The previous prime is 72106931207. The next prime is 72106931279. The reversal of 72106931241 is 14213960127.

It is not a de Polignac number, because 72106931241 - 2²⁶ = 72039822377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72106931196 and 72106931205.

It is not an unprimeable number, because it can be changed into a prime (72116931241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111316 + ... + 395733.

It is an arithmetic number, because the mean of its divisors is an integer number (3498645000).

Almost surely, 2^72106931241 is an apocalyptic number.

It is an amenable number.

72106931241 is a deficient number, since it is larger than the sum of its proper divisors (39849708759).

72106931241 is a wasteful number, since it uses less digits than its factorization.

72106931241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507310 (or 507304 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 72106931241 in words is "seventy-two billion, one hundred six million, nine hundred thirty-one thousand, two hundred forty-one".