73065213001728 has 1088 divisors, whose sum is σ = 234753068298240. Its totient is φ = 22657168834560.

The previous prime is 73065213001667. The next prime is 73065213001769. The reversal of 73065213001728 is 82710031256037.

73065213001728 is a `hidden beast` number, since 7 + 306 + 5 + 2 + 1 + 300 + 17 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a super-2 number, since 2×73065213001728² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382540382113 + ... + 382540382303.

Almost surely, 2^{73065213001728} 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 73065213001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117376534149120).

73065213001728 is an abundant number, since it is smaller than the sum of its proper divisors (161687855296512).

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

73065213001728 is an frugal number, since it uses more digits than its factorization.

73065213001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 73065213001728 in words is "seventy-three trillion, sixty-five billion, two hundred thirteen million, one thousand, seven hundred twenty-eight".