72212414170240 has 64 divisors (see below), whose sum is σ = 172936200339000. Its totient is φ = 28834201083904.

The previous prime is 72212414170219. The next prime is 72212414170271. The reversal of 72212414170240 is 4207141421227.

It can be written as a sum of positive squares in 4 ways, for example, as 42642049287744 + 29570364882496 = 6530088^2 + 5437864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 72212414170240.

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 7 ways as a sum of consecutive naturals, for example, 98785135 + ... + 99513454.

Almost surely, 2^{72212414170240} is an apocalyptic number.

It is an amenable number.

72212414170240 is an abundant number, since it is smaller than the sum of its proper divisors (100723786168760).

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

72212414170240 is a wasteful number, since it uses less digits than its factorization.

72212414170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198299177 (or 198299165 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

Adding to 72212414170240 its reverse (4207141421227), we get a palindrome (76419555591467).

The spelling of 72212414170240 in words is "seventy-two trillion, two hundred twelve billion, four hundred fourteen million, one hundred seventy thousand, two hundred forty".