73228128 has 72 divisors (see below), whose sum is σ = 202969368. Its totient is φ = 23113728.

The previous prime is 73228093. The next prime is 73228151. The reversal of 73228128 is 82182237.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33600 + ... + 35712.

It is an arithmetic number, because the mean of its divisors is an integer number (2819019).

Almost surely, 2^73228128 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 73228128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101484684).

73228128 is an abundant number, since it is smaller than the sum of its proper divisors (129741240).

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

73228128 is a wasteful number, since it uses less digits than its factorization.

73228128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2137 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 73228128 is about 8557.3435130302. The cubic root of 73228128 is about 418.3688204826.

The spelling of 73228128 in words is "seventy-three million, two hundred twenty-eight thousand, one hundred twenty-eight".