705072 has 40 divisors (see below), whose sum is σ = 1875376. Its totient is φ = 228096.

The previous prime is 705053. The next prime is 705073. The reversal of 705072 is 270507.

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

It is not an unprimeable number, because it can be changed into a prime (705073) 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 7 ways as a sum of consecutive naturals, for example, 1578 + ... + 1974.

2⁷⁰⁵⁰⁷² 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 705072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937688).

705072 is an abundant number, since it is smaller than the sum of its proper divisors (1170304).

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

705072 is a wasteful number, since it uses less digits than its factorization.

705072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 705072 is about 839.6856554688. The cubic root of 705072 is about 89.0043342585.

Adding to 705072 its reverse (270507), we get a palindrome (975579).

The spelling of 705072 in words is "seven hundred five thousand, seventy-two".