72514394449920 has 768 divisors, whose sum is σ = 259299939225600. Its totient is φ = 19222437888000.

The previous prime is 72514394449901. The next prime is 72514394449943. The reversal of 72514394449920 is 2994449341527.

72514394449920 is a `hidden beast` number, since 7 + 2 + 5 + 14 + 3 + 94 + 449 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 68216739309 + ... + 68216740371.

It is an arithmetic number, because the mean of its divisors is an integer number (337630129200).

Almost surely, 2^{72514394449920} 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 72514394449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129649969612800).

72514394449920 is an abundant number, since it is smaller than the sum of its proper divisors (186785544775680).

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

72514394449920 is a wasteful number, since it uses less digits than its factorization.

72514394449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 72514394449920 in words is "seventy-two trillion, five hundred fourteen billion, three hundred ninety-four million, four hundred forty-nine thousand, nine hundred twenty".