67992 has 16 divisors (see below), whose sum is σ = 170040. Its totient is φ = 22656.

The previous prime is 67987. The next prime is 67993. The reversal of 67992 is 29976.

67992 is nontrivially palindromic in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 67992.

It is not an unprimeable number, because it can be changed into a prime (67993) by changing a digit.

67992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1393 + ... + 1440.

2⁶⁷⁹⁹² is an apocalyptic number.

It is an amenable number.

67992 is an abundant number, since it is smaller than the sum of its proper divisors (102048).

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 (85020).

67992 is a wasteful number, since it uses less digits than its factorization.

67992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2838 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 67992 is about 260.7527564571. The cubic root of 67992 is about 40.8149503073.

The spelling of 67992 in words is "sixty-seven thousand, nine hundred ninety-two".