1072800 has 108 divisors (see below), whose sum is σ = 3808350. Its totient is φ = 284160.

The previous prime is 1072793. The next prime is 1072801. The reversal of 1072800 is 82701.

It can be written as a sum of positive squares in 3 ways, for example, as 571536 + 501264 = 756^2 + 708^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1072801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7126 + ... + 7274.

2^1072800 is an apocalyptic number.

1072800 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 1072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904175).

1072800 is an abundant number, since it is smaller than the sum of its proper divisors (2735550).

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

1072800 is a wasteful number, since it uses less digits than its factorization.

1072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1072800 is about 1035.7605900979. The cubic root of 1072800 is about 102.3700514633.

Subtracting from 1072800 its reverse (82701), we obtain a palindrome (990099).

The spelling of 1072800 in words is "one million, seventy-two thousand, eight hundred".