167128272 has 100 divisors (see below), whose sum is σ = 495132000. Its totient is φ = 54395712.

The previous prime is 167128271. The next prime is 167128279. The reversal of 167128272 is 272821761.

167128272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167128271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54229 + ... + 57227.

It is an arithmetic number, because the mean of its divisors is an integer number (4951320).

Almost surely, 2^167128272 is an apocalyptic number.

167128272 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 167128272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247566000).

167128272 is an abundant number, since it is smaller than the sum of its proper divisors (328003728).

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

167128272 is a wasteful number, since it uses less digits than its factorization.

167128272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3047 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 167128272 is about 12927.8100233566. The cubic root of 167128272 is about 550.8288022303.

The spelling of 167128272 in words is "one hundred sixty-seven million, one hundred twenty-eight thousand, two hundred seventy-two".