705772 has 24 divisors (see below), whose sum is σ = 1333584. Its totient is φ = 325632.

The previous prime is 705769. The next prime is 705779. The reversal of 705772 is 277507.

It is a happy number.

705772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×705772² = 996228231968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 705772.

It is not an unprimeable number, because it can be changed into a prime (705779) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6543 + ... + 6649.

It is an arithmetic number, because the mean of its divisors is an integer number (55566).

2⁷⁰⁵⁷⁷² is an apocalyptic number.

It is an amenable number.

705772 is a deficient number, since it is larger than the sum of its proper divisors (627812).

705772 is a wasteful number, since it uses less digits than its factorization.

705772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 28.

The square root of 705772 is about 840.1023747139. The cubic root of 705772 is about 89.0337792074.

The spelling of 705772 in words is "seven hundred five thousand, seven hundred seventy-two".