73339128 has 64 divisors (see below), whose sum is σ = 204652800. Its totient is φ = 24334560.

The previous prime is 73339117. The next prime is 73339151. The reversal of 73339128 is 82193337.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73339092 and 73339101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56163 + ... + 57453.

It is an arithmetic number, because the mean of its divisors is an integer number (3197700).

Almost surely, 2^73339128 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 73339128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102326400).

73339128 is an abundant number, since it is smaller than the sum of its proper divisors (131313672).

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

73339128 is a wasteful number, since it uses less digits than its factorization.

73339128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1559 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 73339128 is about 8563.8267147345. The cubic root of 73339128 is about 418.5801031134.

It can be divided in two parts, 7333 and 9128, that added together give a palindrome (16461).

The spelling of 73339128 in words is "seventy-three million, three hundred thirty-nine thousand, one hundred twenty-eight".