672584 has 16 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 305680.

The previous prime is 672577. The next prime is 672587. The reversal of 672584 is 485276.

672584 = T₇₇ + T₇₈ + ... + T₁₆₄.

672584 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a d-powerful number, because it can be written as 6 + 7⁴ + 5⁸ + 2¹⁴ + 8⁶ + 4⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 672584.

It is not an unprimeable number, because it can be changed into a prime (672587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3734 + ... + 3909.

It is an arithmetic number, because the mean of its divisors is an integer number (85995).

2⁶⁷²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

672584 is an abundant number, since it is smaller than the sum of its proper divisors (703336).

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

672584 is a wasteful number, since it uses less digits than its factorization.

672584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7656 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 672584 is about 820.1121874475. The cubic root of 672584 is about 87.6157488556.

The spelling of 672584 in words is "six hundred seventy-two thousand, five hundred eighty-four".