72643366178880 has 672 divisors, whose sum is σ = 270359345894400. Its totient is φ = 16477005017088.

The previous prime is 72643366178879. The next prime is 72643366178917. The reversal of 72643366178880 is 8887166334627.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4862658451 + ... + 4862673389.

It is an arithmetic number, because the mean of its divisors is an integer number (402320455200).

Almost surely, 2^{72643366178880} is an apocalyptic number.

72643366178880 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72643366178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135179672947200).

72643366178880 is an abundant number, since it is smaller than the sum of its proper divisors (197715979715520).

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

72643366178880 is a wasteful number, since it uses less digits than its factorization.

72643366178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15759 (or 15742 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 69.

The spelling of 72643366178880 in words is "seventy-two trillion, six hundred forty-three billion, three hundred sixty-six million, one hundred seventy-eight thousand, eight hundred eighty".