5572800 has 210 divisors, whose sum is σ = 20960588. Its totient is φ = 1451520.

The previous prime is 5572793. The next prime is 5572817. The reversal of 5572800 is 82755.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129579 + ... + 129621.

Almost surely, 2^5572800 is an apocalyptic number.

5572800 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 5572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480294).

5572800 is an abundant number, since it is smaller than the sum of its proper divisors (15387788).

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

5572800 is a wasteful number, since it uses less digits than its factorization.

5572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5572800 is about 2360.6778687487. The cubic root of 5572800 is about 177.2928218211.

The spelling of 5572800 in words is "five million, five hundred seventy-two thousand, eight hundred".