72163210505600 has 48 divisors (see below), whose sum is σ = 178265680960020. Its totient is φ = 28865284200960.

The previous prime is 72163210505579. The next prime is 72163210505609. The reversal of 72163210505600 is 650501236127.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72163210505609) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 11275498442 + ... + 11275504841.

Almost surely, 2^{72163210505600} is an apocalyptic number.

It is an amenable number.

72163210505600 is an abundant number, since it is smaller than the sum of its proper divisors (106102470454420).

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

72163210505600 is a wasteful number, since it uses less digits than its factorization.

72163210505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22551003307 (or 22551003290 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 72163210505600 in words is "seventy-two trillion, one hundred sixty-three billion, two hundred ten million, five hundred five thousand, six hundred".