73285728 has 48 divisors (see below), whose sum is σ = 200745216. Its totient is φ = 23365760.

The previous prime is 73285727. The next prime is 73285733. The reversal of 73285728 is 82758237.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73285728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73285721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14388 + ... + 18803.

It is an arithmetic number, because the mean of its divisors is an integer number (4182192).

Almost surely, 2^73285728 is an apocalyptic number.

It is an amenable number.

73285728 is an abundant number, since it is smaller than the sum of its proper divisors (127459488).

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

73285728 is a wasteful number, since it uses less digits than its factorization.

73285728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33227 (or 33219 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 73285728 is about 8560.7083819039. The cubic root of 73285728 is about 418.4784856669.

The spelling of 73285728 in words is "seventy-three million, two hundred eighty-five thousand, seven hundred twenty-eight".