705636272 has 60 divisors (see below), whose sum is σ = 1584466296. Its totient is φ = 301854720.

The previous prime is 705636271. The next prime is 705636301. The reversal of 705636272 is 272636507.

It is not an unprimeable number, because it can be changed into a prime (705636271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43928 + ... + 57800.

Almost surely, 2^705636272 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 705636272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792233148).

705636272 is an abundant number, since it is smaller than the sum of its proper divisors (878830024).

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

705636272 is a wasteful number, since it uses less digits than its factorization.

705636272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13926 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 705636272 is about 26563.8150874456. The cubic root of 705636272 is about 890.2807143797.

The spelling of 705636272 in words is "seven hundred five million, six hundred thirty-six thousand, two hundred seventy-two".