72071516145 has 16 divisors (see below), whose sum is σ = 115581987072. Its totient is φ = 38348954880.

The previous prime is 72071516141. The next prime is 72071516147. The reversal of 72071516145 is 54161517027.

It is not a de Polignac number, because 72071516145 - 2² = 72071516141 is a prime.

It is a super-2 number, since 2×72071516145² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72071516141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5567512 + ... + 5580441.

It is an arithmetic number, because the mean of its divisors is an integer number (7223874192).

Almost surely, 2^72071516145 is an apocalyptic number.

It is an amenable number.

72071516145 is a deficient number, since it is larger than the sum of its proper divisors (43510470927).

72071516145 is a wasteful number, since it uses less digits than its factorization.

72071516145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11148392.

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 72071516145 in words is "seventy-two billion, seventy-one million, five hundred sixteen thousand, one hundred forty-five".