72332608321 has 16 divisors (see below), whose sum is σ = 77479007760. Its totient is φ = 67287121920.

The previous prime is 72332608273. The next prime is 72332608333. The reversal of 72332608321 is 12380623327.

It can be written as a sum of positive squares in 8 ways, for example, as 6574096 + 72326034225 = 2564^2 + 268935^2 .

It is a cyclic number.

It is not a de Polignac number, because 72332608321 - 2¹¹ = 72332606273 is a prime.

It is a super-3 number, since 3×72332608321³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72332608421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1239561 + ... + 1296601.

It is an arithmetic number, because the mean of its divisors is an integer number (4842437985).

Almost surely, 2^72332608321 is an apocalyptic number.

It is an amenable number.

72332608321 is a deficient number, since it is larger than the sum of its proper divisors (5146399439).

72332608321 is a wasteful number, since it uses less digits than its factorization.

72332608321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57924.

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 72332608321 in words is "seventy-two billion, three hundred thirty-two million, six hundred eight thousand, three hundred twenty-one".