1107072000 has 396 divisors, whose sum is σ = 4122256788. Its totient is φ = 285696000.

The previous prime is 1107071957. The next prime is 1107072007. The reversal of 1107072000 is 2707011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 35426304 + 1071645696 = 5952^2 + 32736^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107072007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35711985 + ... + 35712015.

Almost surely, 2^1107072000 is an apocalyptic number.

1107072000 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 1107072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061128394).

1107072000 is an abundant number, since it is smaller than the sum of its proper divisors (3015184788).

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

1107072000 is an equidigital number, since it uses as much as digits as its factorization.

1107072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1107072000 is about 33272.6915051969. The cubic root of 1107072000 is about 1034.4875990578.

Adding to 1107072000 its reverse (2707011), we get a palindrome (1109779011).

The spelling of 1107072000 in words is "one billion, one hundred seven million, seventy-two thousand".