73000320 has 128 divisors (see below), whose sum is σ = 235081440. Its totient is φ = 19267584.

The previous prime is 73000289. The next prime is 73000339. The reversal of 73000320 is 2300037.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 73000320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370462 + ... + 370658.

Almost surely, 2^73000320 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 73000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117540720).

73000320 is an abundant number, since it is smaller than the sum of its proper divisors (162081120).

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

73000320 is a wasteful number, since it uses less digits than its factorization.

73000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 73000320 is about 8544.0224718806. The cubic root of 73000320 is about 417.9345303169.

Adding to 73000320 its reverse (2300037), we get a palindrome (75300357).

The spelling of 73000320 in words is "seventy-three million, three hundred twenty", and thus it is an aban number.