127906272 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 38900736.

The previous prime is 127906241. The next prime is 127906357. The reversal of 127906272 is 272609721.

127906272 is a `hidden beast` number, since 1 + 27 + 9 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475354 + ... + 475622.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^127906272 is an apocalyptic number.

127906272 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 127906272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

127906272 is an abundant number, since it is smaller than the sum of its proper divisors (268358688).

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

127906272 is a wasteful number, since it uses less digits than its factorization.

127906272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 127906272 is about 11309.5655088956. The cubic root of 127906272 is about 503.8453796291.

The spelling of 127906272 in words is "one hundred twenty-seven million, nine hundred six thousand, two hundred seventy-two".