73008328055220 has 288 divisors, whose sum is σ = 244446184958976. Its totient is φ = 17557000704000.

The previous prime is 73008328055213. The next prime is 73008328055281. The reversal of 73008328055220 is 2255082380037.

73008328055220 is a `hidden beast` number, since 73 + 0 + 0 + 8 + 3 + 2 + 8 + 0 + 552 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5770747 + ... + 13390973.

It is an arithmetic number, because the mean of its divisors is an integer number (848771475552).

Almost surely, 2^{73008328055220} 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 73008328055220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122223092479488).

73008328055220 is an abundant number, since it is smaller than the sum of its proper divisors (171437856903756).

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

73008328055220 is a wasteful number, since it uses less digits than its factorization.

73008328055220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620391 (or 7620386 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 73008328055220 in words is "seventy-three trillion, eight billion, three hundred twenty-eight million, fifty-five thousand, two hundred twenty".