72769327313 has 8 divisors (see below), whose sum is σ = 74066570496. Its totient is φ = 71479648800.

The previous prime is 72769327261. The next prime is 72769327357. The reversal of 72769327313 is 31372396727.

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

It is a cyclic number.

It is not a de Polignac number, because 72769327313 - 2¹² = 72769323217 is a prime.

It is a super-3 number, since 3×72769327313³ (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 (72769327013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1871756 + ... + 1910237.

It is an arithmetic number, because the mean of its divisors is an integer number (9258321312).

Almost surely, 2^72769327313 is an apocalyptic number.

It is an amenable number.

72769327313 is a deficient number, since it is larger than the sum of its proper divisors (1297243183).

72769327313 is a wasteful number, since it uses less digits than its factorization.

72769327313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782335.

The product of its digits is 2000376, while the sum is 50.

The spelling of 72769327313 in words is "seventy-two billion, seven hundred sixty-nine million, three hundred twenty-seven thousand, three hundred thirteen".