167662024272072 has 144 divisors (see below), whose sum is σ = 507300098645340. Its totient is φ = 49973777568000.

The previous prime is 167662024272047. The next prime is 167662024272097. The reversal of 167662024272072 is 270272420266761.

167662024272072 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 6 + 2 + 0 + 2 + 427 + 207 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (167662024272047) and next prime (167662024272097).

It can be written as a sum of positive squares in 2 ways, for example, as 132502982868036 + 35159041404036 = 11510994^2 + 5929506^2 .

It is a super-2 number, since 2×167662024272072² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157214079 + ... + 158276942.

Almost surely, 2^{167662024272072} is an apocalyptic number.

167662024272072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167662024272072 is an abundant number, since it is smaller than the sum of its proper divisors (339638074373268).

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

167662024272072 is a wasteful number, since it uses less digits than its factorization.

167662024272072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315491116 (or 315491098 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 167662024272072 in words is "one hundred sixty-seven trillion, six hundred sixty-two billion, twenty-four million, two hundred seventy-two thousand, seventy-two".