1197072000 has 512 divisors, whose sum is σ = 4697222400. Its totient is φ = 298598400.

The previous prime is 1197071971. The next prime is 1197072001. The reversal of 1197072000 is 2707911.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1197072001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7343919 + ... + 7344081.

Almost surely, 2^1197072000 is an apocalyptic number.

1197072000 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 1197072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348611200).

1197072000 is an abundant number, since it is smaller than the sum of its proper divisors (3500150400).

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

1197072000 is a wasteful number, since it uses less digits than its factorization.

1197072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 1197072000 is about 34598.7283003292. The cubic root of 1197072000 is about 1061.7935696314.

Adding to 1197072000 its reverse (2707911), we get a palindrome (1199779911).

The spelling of 1197072000 in words is "one billion, one hundred ninety-seven million, seventy-two thousand".