73728496224 has 36 divisors (see below), whose sum is σ = 209665411956. Its totient is φ = 24576165312.

The previous prime is 73728496207. The next prime is 73728496241. The reversal of 73728496224 is 42269482737.

73728496224 is a `hidden beast` number, since 7 + 3 + 7 + 2 + 8 + 4 + 9 + 622 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (73728496207) and next prime (73728496241).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128000574 + ... + 128001149.

It is an arithmetic number, because the mean of its divisors is an integer number (5824039221).

Almost surely, 2^73728496224 is an apocalyptic number.

It is an amenable number.

73728496224 is an abundant number, since it is smaller than the sum of its proper divisors (135936915732).

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

73728496224 is a wasteful number, since it uses less digits than its factorization.

73728496224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256001739 (or 256001728 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 73728496224 in words is "seventy-three billion, seven hundred twenty-eight million, four hundred ninety-six thousand, two hundred twenty-four".