72065172049 has 8 divisors (see below), whose sum is σ = 77610739752. Its totient is φ = 66519903360.

The previous prime is 72065172041. The next prime is 72065172059. The reversal of 72065172049 is 94027156027.

It can be written as a sum of positive squares in 4 ways, for example, as 13191424 + 72051980625 = 3632^2 + 268425^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72065172049 - 2³ = 72065172041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72065171996 and 72065172014.

It is not an unprimeable number, because it can be changed into a prime (72065172041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 845157 + ... + 926509.

It is an arithmetic number, because the mean of its divisors is an integer number (9701342469).

Almost surely, 2^72065172049 is an apocalyptic number.

It is an amenable number.

72065172049 is a deficient number, since it is larger than the sum of its proper divisors (5545567703).

72065172049 is a wasteful number, since it uses less digits than its factorization.

72065172049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149507.

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 72065172049 in words is "seventy-two billion, sixty-five million, one hundred seventy-two thousand, forty-nine".