127808072 has 36 divisors (see below), whose sum is σ = 279254115. Its totient is φ = 54678960.

The previous prime is 127808063. The next prime is 127808089. The reversal of 127808072 is 270808721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 63904036 + 63904036 = 7994^2 + 7994^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7994.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223547 + ... + 224117.

Almost surely, 2^127808072 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 127808072

127808072 is an abundant number, since it is smaller than the sum of its proper divisors (151446043).

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

127808072 is an frugal number, since it uses more digits than its factorization.

127808072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 127808072 is about 11305.2232176105. The cubic root of 127808072 is about 503.7164042394.

The spelling of 127808072 in words is "one hundred twenty-seven million, eight hundred eight thousand, seventy-two".