72065172051 has 24 divisors (see below), whose sum is σ = 106464983040. Its totient is φ = 46952213616.

The previous prime is 72065172041. The next prime is 72065172059. The reversal of 72065172051 is 15027156027.

72065172051 is a `hidden beast` number, since 72 + 0 + 6 + 517 + 20 + 51 = 666.

It is not a de Polignac number, because 72065172051 - 2¹⁰ = 72065171027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72065171997 and 72065172015.

It is not an unprimeable number, because it can be changed into a prime (72065172059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164190 + ... + 413628.

It is an arithmetic number, because the mean of its divisors is an integer number (4436040960).

Almost surely, 2^72065172051 is an apocalyptic number.

72065172051 is a deficient number, since it is larger than the sum of its proper divisors (34399810989).

72065172051 is a wasteful number, since it uses less digits than its factorization.

72065172051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250175 (or 250172 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 72065172051 in words is "seventy-two billion, sixty-five million, one hundred seventy-two thousand, fifty-one".