73668729056 has 96 divisors (see below), whose sum is σ = 159095710368. Its totient is φ = 33373347840.

The previous prime is 73668729041. The next prime is 73668729077. The reversal of 73668729056 is 65092786637.

It is a super-2 number, since 2×73668729056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73668728986 and 73668729004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6401900 + ... + 6413396.

It is an arithmetic number, because the mean of its divisors is an integer number (1657246983).

Almost surely, 2^73668729056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73668729056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79547855184).

73668729056 is an abundant number, since it is smaller than the sum of its proper divisors (85426981312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73668729056 is a wasteful number, since it uses less digits than its factorization.

73668729056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11804 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 59.

The spelling of 73668729056 in words is "seventy-three billion, six hundred sixty-eight million, seven hundred twenty-nine thousand, fifty-six".