127272336 has 80 divisors (see below), whose sum is σ = 366494400. Its totient is φ = 37822464.

The previous prime is 127272331. The next prime is 127272371. The reversal of 127272336 is 633272721.

It is a junction number, because it is equal to n+sod(n) for n = 127272297 and 127272306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127272331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11400 + ... + 19608.

It is an arithmetic number, because the mean of its divisors is an integer number (4581180).

Almost surely, 2^127272336 is an apocalyptic number.

127272336 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 127272336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183247200).

127272336 is an abundant number, since it is smaller than the sum of its proper divisors (239222064).

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

127272336 is a wasteful number, since it uses less digits than its factorization.

127272336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8250 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 127272336 is about 11281.5041550318. The cubic root of 127272336 is about 503.0116053800.

The spelling of 127272336 in words is "one hundred twenty-seven million, two hundred seventy-two thousand, three hundred thirty-six".