73447200 has 162 divisors, whose sum is σ = 261582867. Its totient is φ = 19392000.

The previous prime is 73447193. The next prime is 73447223. The reversal of 73447200 is 274437.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 65221776 + 8225424 = 8076^2 + 2868^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6060.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 727150 + ... + 727250.

Almost surely, 2^73447200 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 73447200

73447200 is an abundant number, since it is smaller than the sum of its proper divisors (188135667).

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

73447200 is a wasteful number, since it uses less digits than its factorization.

73447200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 73447200 is about 8570.1341879810. The cubic root of 73447200 is about 418.7856077243.

The spelling of 73447200 in words is "seventy-three million, four hundred forty-seven thousand, two hundred".