73428200 has 48 divisors (see below), whose sum is σ = 173158560. Its totient is φ = 28952000.

The previous prime is 73428197. The next prime is 73428221. The reversal of 73428200 is 282437.

It is a self number, because there is not a number n which added to its sum of digits gives 73428200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11615 + ... + 16785.

It is an arithmetic number, because the mean of its divisors is an integer number (3607470).

Almost surely, 2^73428200 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 73428200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86579280).

73428200 is an abundant number, since it is smaller than the sum of its proper divisors (99730360).

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

73428200 is a wasteful number, since it uses less digits than its factorization.

73428200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 73428200 is about 8569.0256155528. The cubic root of 73428200 is about 418.7494928337.

The spelling of 73428200 in words is "seventy-three million, four hundred twenty-eight thousand, two hundred".