67734 has 24 divisors (see below), whose sum is σ = 151632. Its totient is φ = 21840.

The previous prime is 67733. The next prime is 67741. The reversal of 67734 is 43776.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 67698 and 67707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (6318).

2⁶⁷⁷³⁴ is an apocalyptic number.

67734 is an abundant number, since it is smaller than the sum of its proper divisors (83898).

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 (75816).

67734 is a wasteful number, since it uses less digits than its factorization.

67734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 129 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 67734 is about 260.2575647316. The cubic root of 67734 is about 40.7632598900.

The spelling of 67734 in words is "sixty-seven thousand, seven hundred thirty-four".