127066072 has 64 divisors (see below), whose sum is σ = 288288000. Its totient is φ = 51290496.

The previous prime is 127066067. The next prime is 127066097. The reversal of 127066072 is 270660721.

It is a super-2 number, since 2×127066072² = 32291573307018368, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 326454 + ... + 326842.

It is an arithmetic number, because the mean of its divisors is an integer number (4504500).

Almost surely, 2^127066072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127066072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144000).

127066072 is an abundant number, since it is smaller than the sum of its proper divisors (161221928).

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

127066072 is a wasteful number, since it uses less digits than its factorization.

127066072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 127066072 is about 11272.3587593724. The cubic root of 127066072 is about 502.7397230821.

The spelling of 127066072 in words is "one hundred twenty-seven million, sixty-six thousand, seventy-two".