73038912 has 56 divisors (see below), whose sum is σ = 194559936. Its totient is φ = 24181248.

The previous prime is 73038887. The next prime is 73038913. The reversal of 73038912 is 21983037.

It is a super-2 number, since 2×73038912² = 10669365332287488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73038913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28933 + ... + 31355.

Almost surely, 2^73038912 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 73038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97279968).

73038912 is an abundant number, since it is smaller than the sum of its proper divisors (121521024).

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

73038912 is a wasteful number, since it uses less digits than its factorization.

73038912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 73038912 is about 8546.2805945043. The cubic root of 73038912 is about 418.0081650992.

The spelling of 73038912 in words is "seventy-three million, thirty-eight thousand, nine hundred twelve".