73088320 has 56 divisors (see below), whose sum is σ = 178774344. Its totient is φ = 28440576.

The previous prime is 73088299. The next prime is 73088329. The reversal of 73088320 is 2388037.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 70157376 = 1712^2 + 8376^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73088329) 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, 8754 + ... + 14926.

It is an arithmetic number, because the mean of its divisors is an integer number (3192399).

Almost surely, 2^73088320 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 73088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89387172).

73088320 is an abundant number, since it is smaller than the sum of its proper divisors (105686024).

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

73088320 is a wasteful number, since it uses less digits than its factorization.

73088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6227 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 73088320 is about 8549.1707200172. The cubic root of 73088320 is about 418.1023993078.

The spelling of 73088320 in words is "seventy-three million, eighty-eight thousand, three hundred twenty".