167272992 has 48 divisors (see below), whose sum is σ = 487882080. Its totient is φ = 55757376.

The previous prime is 167272991. The next prime is 167273009. The reversal of 167272992 is 299272761.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (167272991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95938 + ... + 97665.

It is an arithmetic number, because the mean of its divisors is an integer number (10164210).

Almost surely, 2^167272992 is an apocalyptic number.

167272992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167272992 is an abundant number, since it is smaller than the sum of its proper divisors (320609088).

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

167272992 is a wasteful number, since it uses less digits than its factorization.

167272992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193622 (or 193608 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 167272992 is about 12933.4060479056. The cubic root of 167272992 is about 550.9877479014.

The spelling of 167272992 in words is "one hundred sixty-seven million, two hundred seventy-two thousand, nine hundred ninety-two".