73345258728 has 512 divisors, whose sum is σ = 257789952000. Its totient is φ = 18839900160.

The previous prime is 73345258703. The next prime is 73345258729. The reversal of 73345258728 is 82785254337.

73345258728 is a `hidden beast` number, since 7 + 3 + 3 + 4 + 52 + 587 + 2 + 8 = 666.

It is a super-3 number, since 3×73345258728³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (73345258729) 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 127 ways as a sum of consecutive naturals, for example, 66135838 + ... + 66136946.

It is an arithmetic number, because the mean of its divisors is an integer number (503496000).

Almost surely, 2^73345258728 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 73345258728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128894976000).

73345258728 is an abundant number, since it is smaller than the sum of its proper divisors (184444693272).

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

73345258728 is a wasteful number, since it uses less digits than its factorization.

73345258728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1252 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The spelling of 73345258728 in words is "seventy-three billion, three hundred forty-five million, two hundred fifty-eight thousand, seven hundred twenty-eight".