73038412800 has 792 divisors, whose sum is σ = 277180176000. Its totient is φ = 19050577920.

The previous prime is 73038412771. The next prime is 73038412807. The reversal of 73038412800 is 821483037.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73038412807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 367027101 + ... + 367027299.

Almost surely, 2^73038412800 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 73038412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138590088000).

73038412800 is an abundant number, since it is smaller than the sum of its proper divisors (204141763200).

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

73038412800 is a wasteful number, since it uses less digits than its factorization.

73038412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 73038412800 its reverse (821483037), we get a palindrome (73859895837).

The spelling of 73038412800 in words is "seventy-three billion, thirty-eight million, four hundred twelve thousand, eight hundred".