73945600 has 120 divisors (see below), whose sum is σ = 188375220. Its totient is φ = 28753920.

The previous prime is 73945567. The next prime is 73945601. The reversal of 73945600 is 654937.

It can be written as a sum of positive squares in 6 ways, for example, as 42406144 + 31539456 = 6512^2 + 5616^2 .

It is not an unprimeable number, because it can be changed into a prime (73945601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 678346 + ... + 678454.

Almost surely, 2^73945600 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 73945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94187610).

73945600 is an abundant number, since it is smaller than the sum of its proper divisors (114429620).

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

73945600 is a wasteful number, since it uses less digits than its factorization.

73945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 73945600 is about 8599.1627499426. The cubic root of 73945600 is about 419.7307420062.

The spelling of 73945600 in words is "seventy-three million, nine hundred forty-five thousand, six hundred".