72271564365 has 192 divisors, whose sum is σ = 161715197952. Its totient is φ = 27078105600.

The previous prime is 72271564363. The next prime is 72271564429. The reversal of 72271564365 is 56346517227.

It is not a de Polignac number, because 72271564365 - 2¹ = 72271564363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72271564363) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4511520 + ... + 4527510.

It is an arithmetic number, because the mean of its divisors is an integer number (842266656).

Almost surely, 2^72271564365 is an apocalyptic number.

It is an amenable number.

72271564365 is an abundant number, since it is smaller than the sum of its proper divisors (89443633587).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72271564365 is a wasteful number, since it uses less digits than its factorization.

72271564365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16080 (or 16073 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

It can be divided in two parts, 72271 and 564365, that added together give a palindrome (636636).

The spelling of 72271564365 in words is "seventy-two billion, two hundred seventy-one million, five hundred sixty-four thousand, three hundred sixty-five".