72647512241 has 16 divisors (see below), whose sum is σ = 79586634240. Its totient is φ = 66005372160.

The previous prime is 72647512237. The next prime is 72647512313. The reversal of 72647512241 is 14221574627.

It is a cyclic number.

It is not a de Polignac number, because 72647512241 - 2² = 72647512237 is a prime.

It is a super-2 number, since 2×72647512241² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72647512211) 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 15 ways as a sum of consecutive naturals, for example, 5056430 + ... + 5070776.

It is an arithmetic number, because the mean of its divisors is an integer number (4974164640).

Almost surely, 2^72647512241 is an apocalyptic number.

It is an amenable number.

72647512241 is a deficient number, since it is larger than the sum of its proper divisors (6939121999).

72647512241 is a wasteful number, since it uses less digits than its factorization.

72647512241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24664.

The product of its digits is 188160, while the sum is 41.

The spelling of 72647512241 in words is "seventy-two billion, six hundred forty-seven million, five hundred twelve thousand, two hundred forty-one".