73452800 has 108 divisors (see below), whose sum is σ = 190092000. Its totient is φ = 28047360.

The previous prime is 73452791. The next prime is 73452833. The reversal of 73452800 is 825437.

It is a happy number.

It is a congruent number.

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, 146951 + ... + 147449.

Almost surely, 2^73452800 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 73452800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95046000).

73452800 is an abundant number, since it is smaller than the sum of its proper divisors (116639200).

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

73452800 is a wasteful number, since it uses less digits than its factorization.

73452800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 73452800 is about 8570.4608977581. The cubic root of 73452800 is about 418.7962509247.

The spelling of 73452800 in words is "seventy-three million, four hundred fifty-two thousand, eight hundred".