51128272 has 40 divisors (see below), whose sum is σ = 107119880. Its totient is φ = 23500800.

The previous prime is 51128267. The next prime is 51128281. The reversal of 51128272 is 27282115.

It can be written as a sum of positive squares in 4 ways, for example, as 17673616 + 33454656 = 4204^2 + 5784^2 .

It is a super-2 number, since 2×51128272² = 5228200395411968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51128272.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 84772 + ... + 85372.

It is an arithmetic number, because the mean of its divisors is an integer number (2677997).

Almost surely, 2^51128272 is an apocalyptic number.

51128272 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 51128272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53559940).

51128272 is an abundant number, since it is smaller than the sum of its proper divisors (55991608).

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

51128272 is a wasteful number, since it uses less digits than its factorization.

51128272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1025 counting only the distinct ones).

The product of its digits is 2240, while the sum is 28.

The square root of 51128272 is about 7150.4036249711. The cubic root of 51128272 is about 371.1536236280.

The spelling of 51128272 in words is "fifty-one million, one hundred twenty-eight thousand, two hundred seventy-two".