1272407136 has 192 divisors, whose sum is σ = 4484906496. Its totient is φ = 305049600.

The previous prime is 1272407107. The next prime is 1272407167. The reversal of 1272407136 is 6317042721.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1272407097 and 1272407106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89476 + ... + 102716.

It is an arithmetic number, because the mean of its divisors is an integer number (23358888).

Almost surely, 2^1272407136 is an apocalyptic number.

1272407136 is a gapful number since it is divisible by the number (16) 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 1272407136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242453248).

1272407136 is an abundant number, since it is smaller than the sum of its proper divisors (3212499360).

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

1272407136 is a wasteful number, since it uses less digits than its factorization.

1272407136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13285 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 1272407136 is about 35670.8163068915. The cubic root of 1272407136 is about 1083.6158912875.

Adding to 1272407136 its reverse (6317042721), we get a palindrome (7589449857).

The spelling of 1272407136 in words is "one billion, two hundred seventy-two million, four hundred seven thousand, one hundred thirty-six".