72201831205365 has 40 divisors (see below), whose sum is σ = 129437775251928. Its totient is φ = 38504874147840.

The previous prime is 72201831205349. The next prime is 72201831205367. The reversal of 72201831205365 is 56350213810227.

72201831205365 is a `hidden beast` number, since 7 + 2 + 2 + 0 + 1 + 83 + 1 + 205 + 365 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30007530835569 + 42194300369796 = 5477913^2 + 6495714^2 .

It is not a de Polignac number, because 72201831205365 - 2⁴ = 72201831205349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72201831205365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72201831205367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 765132 + ... + 12041141.

Almost surely, 2^{72201831205365} is an apocalyptic number.

It is an amenable number.

72201831205365 is a deficient number, since it is larger than the sum of its proper divisors (57235944046563).

72201831205365 is a wasteful number, since it uses less digits than its factorization.

72201831205365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12820211 (or 12820202 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 72201831205365 in words is "seventy-two trillion, two hundred one billion, eight hundred thirty-one million, two hundred five thousand, three hundred sixty-five".