1272736200 has 192 divisors, whose sum is σ = 4055544000. Its totient is φ = 330071040.

The previous prime is 1272736189. The next prime is 1272736207. The reversal of 1272736200 is 26372721.

1272736200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1272736207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5557686 + ... + 5557914.

It is an arithmetic number, because the mean of its divisors is an integer number (21122625).

Almost surely, 2^1272736200 is an apocalyptic number.

1272736200 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 1272736200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027772000).

1272736200 is an abundant number, since it is smaller than the sum of its proper divisors (2782807800).

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

1272736200 is a wasteful number, since it uses less digits than its factorization.

1272736200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1272736200 is about 35675.4285187999. The cubic root of 1272736200 is about 1083.7092964655.

The spelling of 1272736200 in words is "one billion, two hundred seventy-two million, seven hundred thirty-six thousand, two hundred".