73034729928 has 192 divisors, whose sum is σ = 216918673920. Its totient is φ = 22108262400.

The previous prime is 73034729923. The next prime is 73034729941. The reversal of 73034729928 is 82992743037.

73034729928 is a `hidden beast` number, since 7 + 3 + 0 + 347 + 299 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (73034729923) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4075548 + ... + 4093428.

It is an arithmetic number, because the mean of its divisors is an integer number (1129784760).

Almost surely, 2^73034729928 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 73034729928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108459336960).

73034729928 is an abundant number, since it is smaller than the sum of its proper divisors (143883943992).

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

73034729928 is a wasteful number, since it uses less digits than its factorization.

73034729928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18028 (or 18021 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

It can be divided in two parts, 7303472 and 9928, that added together give a triangular number (7313400 = T₃₈₂₄).

The spelling of 73034729928 in words is "seventy-three billion, thirty-four million, seven hundred twenty-nine thousand, nine hundred twenty-eight".