72768952542784 has 63 divisors (see below), whose sum is σ = 146053792699171. Its totient is φ = 35972659205120.

The previous prime is 72768952542779. The next prime is 72768952542791. The reversal of 72768952542784 is 48724525986727.

The square root of 72768952542784 is 8530472.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5200552542784 + 67568400000000 = 2280472^2 + 8220000^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72768952542784.

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 8 ways as a sum of consecutive naturals, for example, 6073690074 + ... + 6073702054.

Almost surely, 2^{72768952542784} is an apocalyptic number.

72768952542784 is the 8530472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72768952542784

72768952542784 is an abundant number, since it is smaller than the sum of its proper divisors (73284840156387).

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

72768952542784 is an frugal number, since it uses more digits than its factorization.

72768952542784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24152 (or 12072 counting only the distinct ones).

The product of its digits is 3793305600, while the sum is 76.

The spelling of 72768952542784 in words is "seventy-two trillion, seven hundred sixty-eight billion, nine hundred fifty-two million, five hundred forty-two thousand, seven hundred eighty-four".