127628072 has 64 divisors (see below), whose sum is σ = 290908800. Its totient is φ = 51690240.

The previous prime is 127628009. The next prime is 127628089. The reversal of 127628072 is 270826721.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31253 + ... + 35099.

It is an arithmetic number, because the mean of its divisors is an integer number (4545450).

Almost surely, 2^127628072 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 127628072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145454400).

127628072 is an abundant number, since it is smaller than the sum of its proper divisors (163280728).

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

127628072 is a wasteful number, since it uses less digits than its factorization.

127628072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 127628072 is about 11297.2594906907. The cubic root of 127628072 is about 503.4798215010.

The spelling of 127628072 in words is "one hundred twenty-seven million, six hundred twenty-eight thousand, seventy-two".