73885728 has 144 divisors (see below), whose sum is σ = 229249440. Its totient is φ = 20772864.

The previous prime is 73885727. The next prime is 73885733. The reversal of 73885728 is 82758837.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (73885727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531483 + ... + 531621.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 2^73885728 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 73885728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

73885728 is an abundant number, since it is smaller than the sum of its proper divisors (155363712).

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

73885728 is a wasteful number, since it uses less digits than its factorization.

73885728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 752640, while the sum is 48.

The square root of 73885728 is about 8595.6807758315. The cubic root of 73885728 is about 419.6174294068.

The spelling of 73885728 in words is "seventy-three million, eight hundred eighty-five thousand, seven hundred twenty-eight".