167285272 has 64 divisors (see below), whose sum is σ = 411667200. Its totient is φ = 61741440.

The previous prime is 167285263. The next prime is 167285273. The reversal of 167285272 is 272582761.

It is a happy number.

It is a super-2 number, since 2×167285272² = 55968724456227968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167285273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4558 + ... + 18850.

It is an arithmetic number, because the mean of its divisors is an integer number (6432300).

Almost surely, 2^167285272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167285272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205833600).

167285272 is an abundant number, since it is smaller than the sum of its proper divisors (244381928).

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

167285272 is a wasteful number, since it uses less digits than its factorization.

167285272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14336 (or 14332 counting only the distinct ones).

The product of its digits is 94080, while the sum is 40.

The square root of 167285272 is about 12933.8807787918. The cubic root of 167285272 is about 551.0012307793.

The spelling of 167285272 in words is "one hundred sixty-seven million, two hundred eighty-five thousand, two hundred seventy-two".