73215261604224 has 256 divisors, whose sum is σ = 217534527288000. Its totient is φ = 24242108792832.

The previous prime is 73215261604223. The next prime is 73215261604237. The reversal of 73215261604224 is 42240616251237.

73215261604224 is a `hidden beast` number, since 7 + 3 + 2 + 1 + 5 + 2 + 616 + 0 + 4 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73215261604224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73215261604223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313179922 + ... + 313413614.

Almost surely, 2^{73215261604224} 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 73215261604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108767263644000).

73215261604224 is an abundant number, since it is smaller than the sum of its proper divisors (144319265683776).

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

73215261604224 is a wasteful number, since it uses less digits than its factorization.

73215261604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234322 (or 234304 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 73215261604224 in words is "seventy-three trillion, two hundred fifteen billion, two hundred sixty-one million, six hundred four thousand, two hundred twenty-four".