67356 has 18 divisors (see below), whose sum is σ = 170352. Its totient is φ = 22440.

The previous prime is 67349. The next prime is 67369. The reversal of 67356 is 65376.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 900 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (9464).

2⁶⁷³⁵⁶ is an apocalyptic number.

It is an amenable number.

67356 is an abundant number, since it is smaller than the sum of its proper divisors (102996).

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

67356 is a wasteful number, since it uses less digits than its factorization.

67356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1876 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 67356 is about 259.5303450466. The cubic root of 67356 is about 40.6872898472.

It can be divided in two parts, 673 and 56, that added together give a 6-th power (729 = 3⁶).

The spelling of 67356 in words is "sixty-seven thousand, three hundred fifty-six".