72366918121 has 9 divisors (see below), whose sum is σ = 72663772311. Its totient is φ = 72071275032.

The previous prime is 72366918079. The next prime is 72366918187. The reversal of 72366918121 is 12181966327.

72366918121 = 1³ + 2³ + ... + 733³.

The square root of 72366918121 is 269011.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70795905625 + 1571012496 = 266075^2 + 39636^2 .

It is not a de Polignac number, because 72366918121 - 2¹¹ = 72366916073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72366915121) 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 8 ways as a sum of consecutive naturals, for example, 98726671 + ... + 98727403.

It is an arithmetic number, because the mean of its divisors is an integer number (8073752479).

Almost surely, 2^72366918121 is an apocalyptic number.

72366918121 is the 269011-st square number.

72366918121 is the 134506-th centered octagonal number.

It is an amenable number.

72366918121 is a deficient number, since it is larger than the sum of its proper divisors (296854190).

72366918121 is an frugal number, since it uses more digits than its factorization.

72366918121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The spelling of 72366918121 in words is "seventy-two billion, three hundred sixty-six million, nine hundred eighteen thousand, one hundred twenty-one".