73200822480000 has 240 divisors, whose sum is σ = 263219485107150. Its totient is φ = 19520219136000.

The previous prime is 73200822479999. The next prime is 73200822480013. The reversal of 73200822480000 is 8422800237.

It can be written as a sum of positive squares in 5 ways, for example, as 1408551206976 + 71792271273024 = 1186824^2 + 8473032^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 29 ways as a sum of consecutive naturals, for example, 50113905 + ... + 51553904.

Almost surely, 2^{73200822480000} is an apocalyptic number.

It is an amenable number.

73200822480000 is an abundant number, since it is smaller than the sum of its proper divisors (190018662627150).

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

73200822480000 is a wasteful number, since it uses less digits than its factorization.

73200822480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101667849 (or 101667819 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 73200822480000 in words is "seventy-three trillion, two hundred billion, eight hundred twenty-two million, four hundred eighty thousand".