72146468579 has 8 divisors (see below), whose sum is σ = 72693925488. Its totient is φ = 71600124960.

The previous prime is 72146468551. The next prime is 72146468587. The reversal of 72146468579 is 97586464127.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72146468579 is a prime.

It is a super-3 number, since 3×72146468579³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72146467579) 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 7 ways as a sum of consecutive naturals, for example, 147992 + ... + 407669.

It is an arithmetic number, because the mean of its divisors is an integer number (9086740686).

Almost surely, 2^72146468579 is an apocalyptic number.

72146468579 is a deficient number, since it is larger than the sum of its proper divisors (547456909).

72146468579 is a wasteful number, since it uses less digits than its factorization.

72146468579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556645.

The product of its digits is 20321280, while the sum is 59.

The spelling of 72146468579 in words is "seventy-two billion, one hundred forty-six million, four hundred sixty-eight thousand, five hundred seventy-nine".