3572200 has 48 divisors (see below), whose sum is σ = 8487180. Its totient is φ = 1397760.

The previous prime is 3572189. The next prime is 3572203. The reversal of 3572200 is 22753.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1267876 + 2304324 = 1126^2 + 1518^2 .

It is a super-2 number, since 2×3572200² = 25521225680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3572203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10432 + ... + 10768.

Almost surely, 2^3572200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3572200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243590).

3572200 is an abundant number, since it is smaller than the sum of its proper divisors (4914980).

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

3572200 is a wasteful number, since it uses less digits than its factorization.

3572200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 3572200 is about 1890.0264548413. The cubic root of 3572200 is about 152.8663591596.

Adding to 3572200 its reverse (22753), we get a palindrome (3594953).

The spelling of 3572200 in words is "three million, five hundred seventy-two thousand, two hundred".