67725 has 36 divisors (see below), whose sum is σ = 141856. Its totient is φ = 30240.

The previous prime is 67723. The next prime is 67733. The reversal of 67725 is 52776.

It is not a de Polignac number, because 67725 - 2¹ = 67723 is a prime.

It is a Duffinian number.

67725 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1554 + ... + 1596.

2⁶⁷⁷²⁵ is an apocalyptic number.

It is an amenable number.

67725 is an abundant number, since it is smaller than the sum of its proper divisors (74131).

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 (70928).

67725 is a wasteful number, since it uses less digits than its factorization.

67725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 67725 is about 260.2402735935. The cubic root of 67725 is about 40.7614543684.

The spelling of 67725 in words is "sixty-seven thousand, seven hundred twenty-five".