705752352 has 240 divisors, whose sum is σ = 2209145400. Its totient is φ = 220631040.

The previous prime is 705752351. The next prime is 705752363. The reversal of 705752352 is 253257507.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 597509136 + 108243216 = 24444^2 + 10404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (705752351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3081774 + ... + 3082002.

Almost surely, 2^705752352 is an apocalyptic number.

705752352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705752352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104572700).

705752352 is an abundant number, since it is smaller than the sum of its proper divisors (1503393048).

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

705752352 is a wasteful number, since it uses less digits than its factorization.

705752352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 705752352 is about 26565.9999247158. Note that the first 4 decimals coincide. The cubic root of 705752352 is about 890.3295299537.

It can be divided in two parts, 70575 and 2352, that added together give a palindrome (72927).

The spelling of 705752352 in words is "seven hundred five million, seven hundred fifty-two thousand, three hundred fifty-two".