73545800 has 48 divisors (see below), whose sum is σ = 175184100. Its totient is φ = 28697600.

The previous prime is 73545799. The next prime is 73545839. The reversal of 73545800 is 854537.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9897316 + 63648484 = 3146^2 + 7978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3716 + ... + 12684.

Almost surely, 2^73545800 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 73545800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87592050).

73545800 is an abundant number, since it is smaller than the sum of its proper divisors (101638300).

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

73545800 is a wasteful number, since it uses less digits than its factorization.

73545800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9026 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 73545800 is about 8575.8847940023. The cubic root of 73545800 is about 418.9729250395.

The spelling of 73545800 in words is "seventy-three million, five hundred forty-five thousand, eight hundred".