67712 has 24 divisors (see below), whose sum is σ = 141015. Its totient is φ = 32384.

The previous prime is 67709. The next prime is 67723. The reversal of 67712 is 21776.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 33856 + 33856 = 184^2 + 184^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=184.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2933 + ... + 2955.

2^{67712} 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 67712

67712 is an abundant number, since it is smaller than the sum of its proper divisors (73303).

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

67712 is an equidigital number, since it uses as much as digits as its factorization.

67712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its digits is 588, while the sum is 23.

The square root of 67712 is about 260.2152954766. The cubic root of 67712 is about 40.7588461104.

The spelling of 67712 in words is "sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 529 736 1058 1472 2116 2944 4232 8464 16928 33856 67712

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