5238117072 has 100 divisors (see below), whose sum is σ = 15331312260. Its totient is φ = 1726382592.

The previous prime is 5238117043. The next prime is 5238117077. The reversal of 5238117072 is 2707118325.

It can be written as a sum of positive squares in 2 ways, for example, as 390615696 + 4847501376 = 19764^2 + 69624^2 .

It is a super-3 number, since 3×5238117072³ (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5238117077) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92638 + ... + 138050.

Almost surely, 2^5238117072 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 5238117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665656130).

5238117072 is an abundant number, since it is smaller than the sum of its proper divisors (10093195188).

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

5238117072 is a wasteful number, since it uses less digits than its factorization.

5238117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45522 (or 45507 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 5238117072 is about 72374.8372847912. The cubic root of 5238117072 is about 1736.7010501472.

The spelling of 5238117072 in words is "five billion, two hundred thirty-eight million, one hundred seventeen thousand, seventy-two".