72225760066100 has 18 divisors (see below), whose sum is σ = 156729899343654. Its totient is φ = 28890304026400.

The previous prime is 72225760066079. The next prime is 72225760066139. The reversal of 72225760066100 is 166006752227.

It can be written as a sum of positive squares in 3 ways, for example, as 3714084422416 + 68511675643684 = 1927196^2 + 8277178^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361128800231 + ... + 361128800430.

It is an arithmetic number, because the mean of its divisors is an integer number (8707216630203).

Almost surely, 2^{72225760066100} is an apocalyptic number.

It is an amenable number.

72225760066100 is an abundant number, since it is smaller than the sum of its proper divisors (84504139277554).

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

72225760066100 is a wasteful number, since it uses less digits than its factorization.

72225760066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722257600675 (or 722257600668 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 72225760066100 in words is "seventy-two trillion, two hundred twenty-five billion, seven hundred sixty million, sixty-six thousand, one hundred".