73200105792000 has 1440 divisors, whose sum is σ = 306852519525552. Its totient is φ = 16701358080000.

The previous prime is 73200105791987. The next prime is 73200105792019. The reversal of 73200105792000 is 29750100237.

73200105792000 is a `hidden beast` number, since 73 + 2 + 0 + 0 + 10 + 579 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8932518144 + 73191173273856 = 94512^2 + 8555184^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1184801110 + ... + 1184862890.

Almost surely, 2^{73200105792000} 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 73200105792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153426259762776).

73200105792000 is an abundant number, since it is smaller than the sum of its proper divisors (233652413733552).

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

73200105792000 is a wasteful number, since it uses less digits than its factorization.

73200105792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61859 (or 61819 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

Adding to 73200105792000 its reverse (29750100237), we get a palindrome (73229855892237).

The spelling of 73200105792000 in words is "seventy-three trillion, two hundred billion, one hundred five million, seven hundred ninety-two thousand".