73006128 has 120 divisors (see below), whose sum is σ = 224100240. Its totient is φ = 22049280.

The previous prime is 73006127. The next prime is 73006159. The reversal of 73006128 is 82160037.

It is not an unprimeable number, because it can be changed into a prime (73006127) 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 23 ways as a sum of consecutive naturals, for example, 110118 + ... + 110778.

It is an arithmetic number, because the mean of its divisors is an integer number (1867502).

Almost surely, 2^73006128 is an apocalyptic number.

73006128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73006128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112050120).

73006128 is an abundant number, since it is smaller than the sum of its proper divisors (151094112).

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

73006128 is a wasteful number, since it uses less digits than its factorization.

73006128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 73006128 is about 8544.3623518669. The cubic root of 73006128 is about 417.9456138272.

The spelling of 73006128 in words is "seventy-three million, six thousand, one hundred twenty-eight".