73410427200 has 672 divisors, whose sum is σ = 275322913920. Its totient is φ = 16964812800.

The previous prime is 73410427199. The next prime is 73410427241. The reversal of 73410427200 is 272401437.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103540446 + ... + 103541154.

Almost surely, 2^73410427200 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 73410427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137661456960).

73410427200 is an abundant number, since it is smaller than the sum of its proper divisors (201912486720).

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

73410427200 is a wasteful number, since it uses less digits than its factorization.

73410427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

Adding to 73410427200 its reverse (272401437), we get a palindrome (73682828637).

The spelling of 73410427200 in words is "seventy-three billion, four hundred ten million, four hundred twenty-seven thousand, two hundred".