127930752 has 128 divisors (see below), whose sum is σ = 383071200. Its totient is φ = 42550272.

The previous prime is 127930721. The next prime is 127930771. The reversal of 127930752 is 257039721.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 279708 + ... + 280164.

Almost surely, 2^127930752 is an apocalyptic number.

127930752 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 127930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191535600).

127930752 is an abundant number, since it is smaller than the sum of its proper divisors (255140448).

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

127930752 is an frugal number, since it uses more digits than its factorization.

127930752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 127930752 is about 11310.6477268103. The cubic root of 127930752 is about 503.8775212588.

The spelling of 127930752 in words is "one hundred twenty-seven million, nine hundred thirty thousand, seven hundred fifty-two".