5752000 has 56 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 2297600.

The previous prime is 5751997. The next prime is 5752031. The reversal of 5752000 is 2575.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7641 + ... + 8359.

Almost surely, 2^5752000 is an apocalyptic number.

5752000 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 5752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

5752000 is an abundant number, since it is smaller than the sum of its proper divisors (8512640).

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

5752000 is an equidigital number, since it uses as much as digits as its factorization.

5752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 5752000 is about 2398.3327542274. The cubic root of 5752000 is about 179.1731624350.

Adding to 5752000 its reverse (2575), we get a palindrome (5754575).

The spelling of 5752000 in words is "five million, seven hundred fifty-two thousand".