1075200 has 144 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 245760.

The previous prime is 1075187. The next prime is 1075201. The reversal of 1075200 is 25701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1075200.

It is not an unprimeable number, because it can be changed into a prime (1075201) 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, 153597 + ... + 153603.

It is an arithmetic number, because the mean of its divisors is an integer number (28210).

2^1075200 is an apocalyptic number.

1075200 is a gapful number since it is divisible by the number (10) 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 1075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031120).

1075200 is an abundant number, since it is smaller than the sum of its proper divisors (2987040).

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

1075200 is an equidigital number, since it uses as much as digits as its factorization.

1075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1075200 is about 1036.9185117453. The cubic root of 1075200 is about 102.4463331990.

It can be divided in two parts, 1075 and 200, that added together give a triangular number (1275 = T₅₀).

The spelling of 1075200 in words is "one million, seventy-five thousand, two hundred".