1327272000 has 224 divisors, whose sum is σ = 4536155520. Its totient is φ = 341555200.

The previous prime is 1327271993. The next prime is 1327272019. The reversal of 1327272000 is 2727231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 695047 + ... + 696953.

Almost surely, 2^1327272000 is an apocalyptic number.

1327272000 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 1327272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268077760).

1327272000 is an abundant number, since it is smaller than the sum of its proper divisors (3208883520).

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

1327272000 is a wasteful number, since it uses less digits than its factorization.

1327272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 1327272000 is about 36431.7443996304. The cubic root of 1327272000 is about 1098.9720424206.

Adding to 1327272000 its reverse (2727231), we get a palindrome (1329999231).

The spelling of 1327272000 in words is "one billion, three hundred twenty-seven million, two hundred seventy-two thousand".