73204128 has 96 divisors (see below), whose sum is σ = 215107200. Its totient is φ = 24219648.

The previous prime is 73204121. The next prime is 73204139. The reversal of 73204128 is 82140237.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (73204121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166533 + ... + 166971.

It is an arithmetic number, because the mean of its divisors is an integer number (2240700).

Almost surely, 2^73204128 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 73204128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107553600).

73204128 is an abundant number, since it is smaller than the sum of its proper divisors (141903072).

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

73204128 is a wasteful number, since it uses less digits than its factorization.

73204128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 73204128 is about 8555.9410937664. The cubic root of 73204128 is about 418.3231096831.

The spelling of 73204128 in words is "seventy-three million, two hundred four thousand, one hundred twenty-eight".