167272561980072 has 64 divisors (see below), whose sum is σ = 491978123481600. Its totient is φ = 52477666502400.

The previous prime is 167272561980059. The next prime is 167272561980091. The reversal of 167272561980072 is 270089165272761.

167272561980072 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 7 + 2 + 5 + 619 + 8 + 0 + 0 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 167272561979991 and 167272561980009.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22776761304 + ... + 22776768647.

It is an arithmetic number, because the mean of its divisors is an integer number (7687158179400).

Almost surely, 2^{167272561980072} is an apocalyptic number.

167272561980072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167272561980072 is an abundant number, since it is smaller than the sum of its proper divisors (324705561501528).

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

167272561980072 is a wasteful number, since it uses less digits than its factorization.

167272561980072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45553529983 (or 45553529973 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 167272561980072 in words is "one hundred sixty-seven trillion, two hundred seventy-two billion, five hundred sixty-one million, nine hundred eighty thousand, seventy-two".