72768751053944 has 32 divisors (see below), whose sum is σ = 148856804352000. Its totient is φ = 33074120193120.

The previous prime is 72768751053907. The next prime is 72768751053979. The reversal of 72768751053944 is 44935015786727.

It is a super-2 number, since 2×72768751053944² (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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31177682 + ... + 33430305.

It is an arithmetic number, because the mean of its divisors is an integer number (4651775136000).

It is a 1-persistent number, because it is pandigital, but 2⋅72768751053944 = 145537502107888 is not.

Almost surely, 2^{72768751053944} is an apocalyptic number.

It is an amenable number.

72768751053944 is an abundant number, since it is smaller than the sum of its proper divisors (76088053298056).

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

72768751053944 is a wasteful number, since it uses less digits than its factorization.

72768751053944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64620803 (or 64620799 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 68.

The spelling of 72768751053944 in words is "seventy-two trillion, seven hundred sixty-eight billion, seven hundred fifty-one million, fifty-three thousand, nine hundred forty-four".