1127072000 has 72 divisors (see below), whose sum is σ = 2807756952. Its totient is φ = 450816000.

The previous prime is 1127071999. The next prime is 1127072021. The reversal of 1127072000 is 2707211.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 1124663296 = 1552^2 + 33536^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14390 + ... + 49610.

Almost surely, 2^1127072000 is an apocalyptic number.

1127072000 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 1127072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403878476).

1127072000 is an abundant number, since it is smaller than the sum of its proper divisors (1680684952).

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

1127072000 is an frugal number, since it uses more digits than its factorization.

1127072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35252 (or 35228 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 1127072000 is about 33571.8930059060. The cubic root of 1127072000 is about 1040.6800286230.

Adding to 1127072000 its reverse (2707211), we get a palindrome (1129779211).

The spelling of 1127072000 in words is "one billion, one hundred twenty-seven million, seventy-two thousand".