72268164268146 has 160 divisors (see below), whose sum is σ = 203177956367232. Its totient is φ = 18651391050240.

The previous prime is 72268164268141. The next prime is 72268164268177. The reversal of 72268164268146 is 64186246186227.

It is a happy number.

72268164268146 is a `hidden beast` number, since 7 + 2 + 2 + 68 + 1 + 6 + 426 + 8 + 146 = 666.

72268164268146 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (72268164268141) 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 79 ways as a sum of consecutive naturals, for example, 16492231 + ... + 20409066.

Almost surely, 2^{72268164268146} is an apocalyptic number.

72268164268146 is an abundant number, since it is smaller than the sum of its proper divisors (130909792099086).

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

72268164268146 is a wasteful number, since it uses less digits than its factorization.

72268164268146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36901486 (or 36901477 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 72268164268146 in words is "seventy-two trillion, two hundred sixty-eight billion, one hundred sixty-four million, two hundred sixty-eight thousand, one hundred forty-six".