67167252 has 96 divisors (see below), whose sum is σ = 180633600. Its totient is φ = 21573216.

The previous prime is 67167241. The next prime is 67167253. The reversal of 67167252 is 25276176.

It is a super-3 number, since 3×67167252³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (67167253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528813 + ... + 528939.

It is an arithmetic number, because the mean of its divisors is an integer number (1881600).

Almost surely, 2^67167252 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 67167252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90316800).

67167252 is an abundant number, since it is smaller than the sum of its proper divisors (113466348).

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

67167252 is a wasteful number, since it uses less digits than its factorization.

67167252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 67167252 is about 8195.5629458872. The cubic root of 67167252 is about 406.4924904319.

The spelling of 67167252 in words is "sixty-seven million, one hundred sixty-seven thousand, two hundred fifty-two".