167488272 has 120 divisors (see below), whose sum is σ = 546790400. Its totient is φ = 47839680.

The previous prime is 167488271. The next prime is 167488283. The reversal of 167488272 is 272884761.

167488272 is a `hidden beast` number, since 167 + 488 + 2 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167488271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47697 + ... + 51087.

Almost surely, 2^167488272 is an apocalyptic number.

167488272 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 167488272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273395200).

167488272 is an abundant number, since it is smaller than the sum of its proper divisors (379302128).

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

167488272 is a wasteful number, since it uses less digits than its factorization.

167488272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3403 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 167488272 is about 12941.7260054446. The cubic root of 167488272 is about 551.2240199396.

The spelling of 167488272 in words is "one hundred sixty-seven million, four hundred eighty-eight thousand, two hundred seventy-two".