167428272 has 160 divisors (see below), whose sum is σ = 498825216. Its totient is φ = 47923200.

The previous prime is 167428271. The next prime is 167428273. The reversal of 167428272 is 272824761.

It is an interprime number because it is at equal distance from previous prime (167428271) and next prime (167428273).

It is a self number, because there is not a number n which added to its sum of digits gives 167428272.

It is not an unprimeable number, because it can be changed into a prime (167428271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867408 + ... + 867600.

Almost surely, 2^167428272 is an apocalyptic number.

167428272 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 167428272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249412608).

167428272 is an abundant number, since it is smaller than the sum of its proper divisors (331396944).

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

167428272 is a wasteful number, since it uses less digits than its factorization.

167428272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 167428272 is about 12939.4077144203. The cubic root of 167428272 is about 551.1581896759.

The spelling of 167428272 in words is "one hundred sixty-seven million, four hundred twenty-eight thousand, two hundred seventy-two".