5605763072 has 144 divisors (see below), whose sum is σ = 14045047380. Its totient is φ = 2217148416.

The previous prime is 5605763057. The next prime is 5605763087. The reversal of 5605763072 is 2703675065.

It is an interprime number because it is at equal distance from previous prime (5605763057) and next prime (5605763087).

It can be written as a sum of positive squares in 2 ways, for example, as 5431100416 + 174662656 = 73696^2 + 13216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1302428 + ... + 1306724.

Almost surely, 2^5605763072 is an apocalyptic number.

5605763072 is a gapful number since it is divisible by the number (52) 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 5605763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7022523690).

5605763072 is an abundant number, since it is smaller than the sum of its proper divisors (8439284308).

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

5605763072 is a wasteful number, since it uses less digits than its factorization.

5605763072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 41.

The square root of 5605763072 is about 74871.6439782111. The cubic root of 5605763072 is about 1776.4169678113.

The spelling of 5605763072 in words is "five billion, six hundred five million, seven hundred sixty-three thousand, seventy-two".