1071200 has 72 divisors (see below), whose sum is σ = 2843568. Its totient is φ = 391680.

The previous prime is 1071197. The next prime is 1071223. The reversal of 1071200 is 21701.

It is a super-2 number, since 2×1071200² = 2294938880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10349 + ... + 10451.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2^1071200 is an apocalyptic number.

1071200 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 1071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421784).

1071200 is an abundant number, since it is smaller than the sum of its proper divisors (1772368).

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

1071200 is a wasteful number, since it uses less digits than its factorization.

1071200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 1071200 is about 1034.9879226348. The cubic root of 1071200 is about 102.3191337471.

Adding to 1071200 its reverse (21701), we get a palindrome (1092901).

The spelling of 1071200 in words is "one million, seventy-one thousand, two hundred".