167206272 has 96 divisors (see below), whose sum is σ = 455517720. Its totient is φ = 54337536.

The previous prime is 167206267. The next prime is 167206279. The reversal of 167206272 is 272602761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×167206272² = 55915874792275968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167206279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1723728 + ... + 1723824.

Almost surely, 2^167206272 is an apocalyptic number.

167206272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227758860).

167206272 is an abundant number, since it is smaller than the sum of its proper divisors (288311448).

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

167206272 is an frugal number, since it uses more digits than its factorization.

167206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 167206272 is about 12930.8264237055. The cubic root of 167206272 is about 550.9144808607.

The spelling of 167206272 in words is "one hundred sixty-seven million, two hundred six thousand, two hundred seventy-two".