67792 has 20 divisors (see below), whose sum is σ = 138880. Its totient is φ = 31968.

The previous prime is 67789. The next prime is 67801. The reversal of 67792 is 29776.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2⁶⁷⁷⁹² 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 67792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69440).

67792 is an abundant number, since it is smaller than the sum of its proper divisors (71088).

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

67792 is a wasteful number, since it uses less digits than its factorization.

67792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its digits is 5292, while the sum is 31.

The square root of 67792 is about 260.3689689652. The cubic root of 67792 is about 40.7748916385.

Subtracting from 67792 its product of digits (5292), we obtain a square (62500 = 250²).

The spelling of 67792 in words is "sixty-seven thousand, seven hundred ninety-two".