5126758272 has 480 divisors, whose sum is σ = 17050473000. Its totient is φ = 1526611968.

The previous prime is 5126758271. The next prime is 5126758313. The reversal of 5126758272 is 2728576215.

5126758272 is a `hidden beast` number, since 5 + 1 + 2 + 67 + 582 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126758271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 86894179 + ... + 86894237.

Almost surely, 2^5126758272 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 5126758272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525236500).

5126758272 is an abundant number, since it is smaller than the sum of its proper divisors (11923714728).

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

5126758272 is a wasteful number, since it uses less digits than its factorization.

5126758272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 5126758272 is about 71601.3845676185. The cubic root of 5126758272 is about 1724.3057652518.

The spelling of 5126758272 in words is "five billion, one hundred twenty-six million, seven hundred fifty-eight thousand, two hundred seventy-two".