73993128 has 32 divisors (see below), whose sum is σ = 201800160. Its totient is φ = 22422080.

The previous prime is 73993109. The next prime is 73993133. The reversal of 73993128 is 82139937.

It is a super-3 number, since 3×73993128³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73993128.

It is an unprimeable number.

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, 139875 + ... + 140402.

It is an arithmetic number, because the mean of its divisors is an integer number (6306255).

Almost surely, 2^73993128 is an apocalyptic number.

It is an amenable number.

73993128 is an abundant number, since it is smaller than the sum of its proper divisors (127807032).

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

73993128 is a wasteful number, since it uses less digits than its factorization.

73993128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280297 (or 280293 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 73993128 is about 8601.9258308823. The cubic root of 73993128 is about 419.8206490470.

The spelling of 73993128 in words is "seventy-three million, nine hundred ninety-three thousand, one hundred twenty-eight".