72218625778656 has 240 divisors, whose sum is σ = 257013345780576. Its totient is φ = 19420134580224.

The previous prime is 72218625778643. The next prime is 72218625778709. The reversal of 72218625778656 is 65687752681227.

It is a happy number.

72218625778656 is a `hidden beast` number, since 7 + 221 + 86 + 257 + 78 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116759301 + ... + 117376196.

Almost surely, 2^{72218625778656} is an apocalyptic number.

It is an amenable number.

72218625778656 is an abundant number, since it is smaller than the sum of its proper divisors (184794720001920).

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

72218625778656 is a wasteful number, since it uses less digits than its factorization.

72218625778656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234135543 (or 234135526 counting only the distinct ones).

The product of its digits is 948326400, while the sum is 72.

The spelling of 72218625778656 in words is "seventy-two trillion, two hundred eighteen billion, six hundred twenty-five million, seven hundred seventy-eight thousand, six hundred fifty-six".