51127200 has 216 divisors, whose sum is σ = 187675488. Its totient is φ = 13582080.

The previous prime is 51127187. The next prime is 51127201. The reversal of 51127200 is 272115.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×51127200² = 5227981159680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51127201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 194269 + ... + 194531.

It is an arithmetic number, because the mean of its divisors is an integer number (868868).

Almost surely, 2^51127200 is an apocalyptic number.

51127200 is a gapful number since it is divisible by the number (50) 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 51127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93837744).

51127200 is an abundant number, since it is smaller than the sum of its proper divisors (136548288).

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

51127200 is a wasteful number, since it uses less digits than its factorization.

51127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 51127200 is about 7150.3286637748. The cubic root of 51127200 is about 371.1510296328.

Adding to 51127200 its reverse (272115), we get a palindrome (51399315).

The spelling of 51127200 in words is "fifty-one million, one hundred twenty-seven thousand, two hundred".