1272016872 has 320 divisors, whose sum is σ = 4268880000. Its totient is φ = 353590272.

The previous prime is 1272016861. The next prime is 1272016913. The reversal of 1272016872 is 2786102721.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13113528 + ... + 13113624.

It is an arithmetic number, because the mean of its divisors is an integer number (13340250).

Almost surely, 2^1272016872 is an apocalyptic number.

1272016872 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 1272016872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134440000).

1272016872 is an abundant number, since it is smaller than the sum of its proper divisors (2996863128).

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

1272016872 is an equidigital number, since it uses as much as digits as its factorization.

1272016872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1272016872 is about 35665.3455331643. The cubic root of 1272016872 is about 1083.5050935448.

It can be divided in two parts, 12720 and 16872, that added together give a palindrome (29592).

The spelling of 1272016872 in words is "one billion, two hundred seventy-two million, sixteen thousand, eight hundred seventy-two".