73128 has 32 divisors (see below), whose sum is σ = 200160. Its totient is φ = 22080.

The previous prime is 73127. The next prime is 73133. The reversal of 73128 is 82137.

It is not an unprimeable number, because it can be changed into a prime (73121) 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, 126 + ... + 402.

It is an arithmetic number, because the mean of its divisors is an integer number (6255).

2⁷³¹²⁸ 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 73128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100080).

73128 is an abundant number, since it is smaller than the sum of its proper divisors (127032).

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

73128 is a wasteful number, since it uses less digits than its factorization.

73128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 73128 is about 270.4218926049. The cubic root of 73128 is about 41.8178048886.

Subtracting 73128 from its reverse (82137), we obtain a palindrome (9009).

The spelling of 73128 in words is "seventy-three thousand, one hundred twenty-eight".