705872 has 20 divisors (see below), whose sum is σ = 1381236. Its totient is φ = 349440.

The previous prime is 705871. The next prime is 705883. The reversal of 705872 is 278507.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 364816 = 584^2 + 604^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 705872.

It is not an unprimeable number, because it can be changed into a prime (705871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2372 + ... + 2652.

2⁷⁰⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

705872 is a deficient number, since it is larger than the sum of its proper divisors (675364).

705872 is a wasteful number, since it uses less digits than its factorization.

705872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 705872 is about 840.1618891618. The cubic root of 705872 is about 89.0379840391.

The spelling of 705872 in words is "seven hundred five thousand, eight hundred seventy-two".