72163486560 has 192 divisors, whose sum is σ = 261031921920. Its totient is φ = 16573409280.

The previous prime is 72163486487. The next prime is 72163486583. The reversal of 72163486560 is 6568436127.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 259347 + ... + 459986.

It is an arithmetic number, because the mean of its divisors is an integer number (1359541260).

Almost surely, 2^72163486560 is an apocalyptic number.

It is an amenable number.

72163486560 is an abundant number, since it is smaller than the sum of its proper divisors (188868435360).

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

72163486560 is a wasteful number, since it uses less digits than its factorization.

72163486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719381 (or 719373 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 72163486560 in words is "seventy-two billion, one hundred sixty-three million, four hundred eighty-six thousand, five hundred sixty".