67242 has 16 divisors (see below), whose sum is σ = 153792. Its totient is φ = 19200.

The previous prime is 67231. The next prime is 67247. The reversal of 67242 is 24276.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (67247) by changing a digit.

67242 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, 759 + ... + 842.

It is an arithmetic number, because the mean of its divisors is an integer number (9612).

2⁶⁷²⁴² is an apocalyptic number.

67242 is an abundant number, since it is smaller than the sum of its proper divisors (86550).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76896).

67242 is a wasteful number, since it uses less digits than its factorization.

67242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613.

The product of its digits is 672, while the sum is 21.

The square root of 67242 is about 259.3106245413. The cubic root of 67242 is about 40.6643224783.

It can be divided in two parts, 672 and 42, that multiplied together give a square (28224 = 168²).

The spelling of 67242 in words is "sixty-seven thousand, two hundred forty-two".