5127200 has 144 divisors (see below), whose sum is σ = 14764680. Its totient is φ = 1720320.

The previous prime is 5127197. The next prime is 5127203. The reversal of 5127200 is 27215.

It is an interprime number because it is at equal distance from previous prime (5127197) and next prime (5127203).

It can be written as a sum of positive squares in 12 ways, for example, as 234256 + 4892944 = 484^2 + 2212^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5127203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176786 + ... + 176814.

Almost surely, 2^5127200 is an apocalyptic number.

5127200 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 5127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382340).

5127200 is an abundant number, since it is smaller than the sum of its proper divisors (9637480).

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

5127200 is a wasteful number, since it uses less digits than its factorization.

5127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 5127200 is about 2264.3321311150. The cubic root of 5127200 is about 172.4355286621.

It can be divided in two parts, 512 and 7200, that multiplied together give a square (3686400 = 1920²).

The spelling of 5127200 in words is "five million, one hundred twenty-seven thousand, two hundred".