5752100 has 36 divisors (see below), whose sum is σ = 12632004. Its totient is φ = 2273280.

The previous prime is 5752099. The next prime is 5752111. The reversal of 5752100 is 12575.

It can be written as a sum of positive squares in 6 ways, for example, as 68644 + 5683456 = 262^2 + 2384^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 9404 + ... + 9996.

It is an arithmetic number, because the mean of its divisors is an integer number (350889).

Almost surely, 2^5752100 is an apocalyptic number.

5752100 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 5752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316002).

5752100 is an abundant number, since it is smaller than the sum of its proper divisors (6879904).

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

5752100 is a wasteful number, since it uses less digits than its factorization.

5752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 5752100 is about 2398.3536019528. The cubic root of 5752100 is about 179.1742007528.

Adding to 5752100 its reverse (12575), we get a palindrome (5764675).

The spelling of 5752100 in words is "five million, seven hundred fifty-two thousand, one hundred".