167313072 has 30 divisors (see below), whose sum is σ = 432457068. Its totient is φ = 55741152.

The previous prime is 167313067. The next prime is 167313079. The reversal of 167313072 is 270313761.

It is not an unprimeable number, because it can be changed into a prime (167313079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88683 + ... + 90549.

Almost surely, 2^167313072 is an apocalyptic number.

167313072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

167313072 is an abundant number, since it is smaller than the sum of its proper divisors (265143996).

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

167313072 is an frugal number, since it uses more digits than its factorization.

167313072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 167313072 is about 12934.9554309244. The cubic root of 167313072 is about 551.0317514693.

Multiplying 167313072 by its product of nonzero digits (5292), we get a square (885420777024 = 940968²).

The spelling of 167313072 in words is "one hundred sixty-seven million, three hundred thirteen thousand, seventy-two".