72741465754448 has 20 divisors (see below), whose sum is σ = 140997627904980. Its totient is φ = 36354981133824.

The previous prime is 72741465754429. The next prime is 72741465754459. The reversal of 72741465754448 is 84445756414727.

72741465754448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35357437148944 + 37384028605504 = 5946212^2 + 6114248^2 .

It is a super-2 number, since 2×72741465754448² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 984445865 + ... + 984519752.

It is an arithmetic number, because the mean of its divisors is an integer number (7049881395249).

Almost surely, 2^{72741465754448} is an apocalyptic number.

It is an amenable number.

72741465754448 is a deficient number, since it is larger than the sum of its proper divisors (68256162150532).

72741465754448 is a wasteful number, since it uses less digits than its factorization.

72741465754448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968967934 (or 1968967928 counting only the distinct ones).

The product of its digits is 842956800, while the sum is 68.

The spelling of 72741465754448 in words is "seventy-two trillion, seven hundred forty-one billion, four hundred sixty-five million, seven hundred fifty-four thousand, four hundred forty-eight".