1272672720 has 480 divisors, whose sum is σ = 4948504704. Its totient is φ = 290304000.

The previous prime is 1272672719. The next prime is 1272672733. The reversal of 1272672720 is 272762721.

1272672720 is a `hidden beast` number, since 127 + 267 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12600670 + ... + 12600770.

Almost surely, 2^1272672720 is an apocalyptic number.

1272672720 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 1272672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2474252352).

1272672720 is an abundant number, since it is smaller than the sum of its proper divisors (3675831984).

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

1272672720 is a wasteful number, since it uses less digits than its factorization.

1272672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 1272672720 is about 35674.5388197241. The cubic root of 1272672720 is about 1083.6912788512.

Subtracting from 1272672720 its reverse (272762721), we obtain a palindrome (999909999).

The spelling of 1272672720 in words is "one billion, two hundred seventy-two million, six hundred seventy-two thousand, seven hundred twenty".