73324128 has 96 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 22784000.

The previous prime is 73324127. The next prime is 73324133. The reversal of 73324128 is 82142337.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 73324095 and 73324104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73324127) by changing a digit.

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, 292003 + ... + 292253.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 2^73324128 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 73324128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

73324128 is an abundant number, since it is smaller than the sum of its proper divisors (132428832).

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

73324128 is a wasteful number, since it uses less digits than its factorization.

73324128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 73324128 is about 8562.9508932377. The cubic root of 73324128 is about 418.5515638701.

The spelling of 73324128 in words is "seventy-three million, three hundred twenty-four thousand, one hundred twenty-eight".