672757 has 2 divisors, whose sum is σ = 672758. Its totient is φ = 672756.

The previous prime is 672743. The next prime is 672767. The reversal of 672757 is 757276.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 579121 + 93636 = 761^2 + 306^2 .

It is a cyclic number.

It is not a de Polignac number, because 672757 - 2⁷ = 672629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (672767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 336378 + 336379.

It is an arithmetic number, because the mean of its divisors is an integer number (336379).

2⁶⁷²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

672757 is a deficient number, since it is larger than the sum of its proper divisors (1).

672757 is an equidigital number, since it uses as much as digits as its factorization.

672757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20580, while the sum is 34.

The square root of 672757 is about 820.2176540407. The cubic root of 672757 is about 87.6232602966.

The spelling of 672757 in words is "six hundred seventy-two thousand, seven hundred fifty-seven".