1072287200 has 36 divisors (see below), whose sum is σ = 2617723080. Its totient is φ = 428914560.

The previous prime is 1072287199. The next prime is 1072287239. The reversal of 1072287200 is 27822701.

It is a super-2 number, since 2×1072287200² = 2299599678567680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 669380 + ... + 670979.

It is an arithmetic number, because the mean of its divisors is an integer number (72714530).

Almost surely, 2^1072287200 is an apocalyptic number.

1072287200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1072287200 is an abundant number, since it is smaller than the sum of its proper divisors (1545435880).

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

1072287200 is a wasteful number, since it uses less digits than its factorization.

1072287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340379 (or 1340366 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 1072287200 is about 32745.7966768256. The cubic root of 1072287200 is about 1023.5373785126.

The spelling of 1072287200 in words is "one billion, seventy-two million, two hundred eighty-seven thousand, two hundred".