73467200 has 168 divisors, whose sum is σ = 199275192. Its totient is φ = 26542080.

The previous prime is 73467193. The next prime is 73467223. The reversal of 73467200 is 276437.

It can be written as a sum of positive squares in 12 ways, for example, as 1149184 + 72318016 = 1072^2 + 8504^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1006364 + ... + 1006436.

Almost surely, 2^73467200 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 73467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99637596).

73467200 is an abundant number, since it is smaller than the sum of its proper divisors (125807992).

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

73467200 is a wasteful number, since it uses less digits than its factorization.

73467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 73467200 is about 8571.3009514309. The cubic root of 73467200 is about 418.8236166705.

It can be divided in two parts, 73 and 467200, that multiplied together give a square (34105600 = 5840²).

The spelling of 73467200 in words is "seventy-three million, four hundred sixty-seven thousand, two hundred".