72065172045 has 32 divisors (see below), whose sum is σ = 116119517184. Its totient is φ = 38163240000.

The previous prime is 72065172041. The next prime is 72065172059. The reversal of 72065172045 is 54027156027.

It is not a de Polignac number, because 72065172045 - 2² = 72065172041 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72065171994 and 72065172012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72065172041) 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 31 ways as a sum of consecutive naturals, for example, 6343120 + ... + 6354470.

It is an arithmetic number, because the mean of its divisors is an integer number (3628734912).

Almost surely, 2^72065172045 is an apocalyptic number.

It is an amenable number.

72065172045 is a deficient number, since it is larger than the sum of its proper divisors (44054345139).

72065172045 is a wasteful number, since it uses less digits than its factorization.

72065172045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14313.

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 72065172045 in words is "seventy-two billion, sixty-five million, one hundred seventy-two thousand, forty-five".