1204275072 has 384 divisors, whose sum is σ = 4336485120. Its totient is φ = 287539200.

The previous prime is 1204275041. The next prime is 1204275089. The reversal of 1204275072 is 2705724021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4996872 + ... + 4997112.

It is an arithmetic number, because the mean of its divisors is an integer number (11292930).

Almost surely, 2^1204275072 is an apocalyptic number.

1204275072 is a gapful number since it is divisible by the number (12) 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 1204275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168242560).

1204275072 is an abundant number, since it is smaller than the sum of its proper divisors (3132210048).

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

1204275072 is a wasteful number, since it uses less digits than its factorization.

1204275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 1204275072 is about 34702.6666410522. Note that the first 4 decimals coincide. The cubic root of 1204275072 is about 1063.9190018805.

Adding to 1204275072 its reverse (2705724021), we get a palindrome (3909999093).

The spelling of 1204275072 in words is "one billion, two hundred four million, two hundred seventy-five thousand, seventy-two".