73527328 has 48 divisors (see below), whose sum is σ = 166622400. Its totient is φ = 31286016.

The previous prime is 73527323. The next prime is 73527331. The reversal of 73527328 is 82372537.

It is not an unprimeable number, because it can be changed into a prime (73527323) 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, 32275 + ... + 34477.

It is an arithmetic number, because the mean of its divisors is an integer number (3471300).

Almost surely, 2^73527328 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 73527328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83311200).

73527328 is an abundant number, since it is smaller than the sum of its proper divisors (93095072).

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

73527328 is a wasteful number, since it uses less digits than its factorization.

73527328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2361 counting only the distinct ones).

The product of its digits is 70560, while the sum is 37.

The square root of 73527328 is about 8574.8077529470. The cubic root of 73527328 is about 418.9378452393.

The spelling of 73527328 in words is "seventy-three million, five hundred twenty-seven thousand, three hundred twenty-eight".