72584069361 has 8 divisors (see below), whose sum is σ = 97635208800. Its totient is φ = 47961154752.

The previous prime is 72584069353. The next prime is 72584069387. The reversal of 72584069361 is 16396048527.

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

It is not a de Polignac number, because 72584069361 - 2³ = 72584069353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72584069161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107055811 + ... + 107056488.

It is an arithmetic number, because the mean of its divisors is an integer number (12204401100).

It is a 1-persistent number, because it is pandigital, but 2⋅72584069361 = 145168138722 is not.

Almost surely, 2^72584069361 is an apocalyptic number.

It is an amenable number.

72584069361 is a deficient number, since it is larger than the sum of its proper divisors (25051139439).

72584069361 is a wasteful number, since it uses less digits than its factorization.

72584069361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214112415.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 72584069361 in words is "seventy-two billion, five hundred eighty-four million, sixty-nine thousand, three hundred sixty-one".