1073872900 has 81 divisors (see below), whose sum is σ = 2434977181. Its totient is φ = 411066880.

The previous prime is 1073872897. The next prime is 1073872903. The reversal of 1073872900 is 92783701.

The square root of 1073872900 is 32770.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1073872897) and next prime (1073872903).

It can be written as a sum of positive squares in 13 ways, for example, as 1073610756 + 262144 = 32766^2 + 512^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1073872900.

It is not an unprimeable number, because it can be changed into a prime (1073872903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9503244 + ... + 9503356.

Almost surely, 2^1073872900 is an apocalyptic number.

1073872900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1073872900 is the 32770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073872900

1073872900 is an abundant number, since it is smaller than the sum of its proper divisors (1361104281).

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

1073872900 is a wasteful number, since it uses less digits than its factorization.

1073872900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The cubic root of 1073872900 is about 1024.0416662428.

It can be divided in two parts, 10738 and 72900, that added together give a palindrome (83638).

The spelling of 1073872900 in words is "one billion, seventy-three million, eight hundred seventy-two thousand, nine hundred".