68292 has 36 divisors (see below), whose sum is σ = 198016. Its totient is φ = 19440.

The previous prime is 68281. The next prime is 68311. The reversal of 68292 is 29286.

It is a tau number, because it is divible by the number of its divisors (36).

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

Its product of digits (1728) is a multiple of the sum of its prime factors (288).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 68292.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 387.

2⁶⁸²⁹² 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 68292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99008).

68292 is an abundant number, since it is smaller than the sum of its proper divisors (129724).

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

68292 is a wasteful number, since it uses less digits than its factorization.

68292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 68292 is about 261.3273808846. The cubic root of 68292 is about 40.8748912827.

Subtracting from 68292 its sum of digits (27), we obtain a triangular number (68265 = T₃₆₉).

Subtracting from 68292 its product of digits (1728), we obtain a square (66564 = 258²).

The spelling of 68292 in words is "sixty-eight thousand, two hundred ninety-two".