67252 has 24 divisors (see below), whose sum is σ = 133056. Its totient is φ = 29568.

The previous prime is 67247. The next prime is 67261. The reversal of 67252 is 25276.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

67252 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1543 + ... + 1585.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

67252 is a Friedman number, since it can be written as (7^5+6)*(2+2), using all its digits and the basic arithmetic operations.

2⁶⁷²⁵² is an apocalyptic number.

It is an amenable number.

67252 is a deficient number, since it is larger than the sum of its proper divisors (65804).

67252 is a wasteful number, since it uses less digits than its factorization.

67252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 840, while the sum is 22.

The square root of 67252 is about 259.3299057186. The cubic root of 67252 is about 40.6663381980. Note that the first 3 decimals are identical.

The spelling of 67252 in words is "sixty-seven thousand, two hundred fifty-two".