127652032 has 56 divisors (see below), whose sum is σ = 269290800. Its totient is φ = 59867136.

The previous prime is 127652027. The next prime is 127652039. The reversal of 127652032 is 230256721.

It is not an unprimeable number, because it can be changed into a prime (127652039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 136944 + ... + 137872.

Almost surely, 2^127652032 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 127652032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134645400).

127652032 is an abundant number, since it is smaller than the sum of its proper divisors (141638768).

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

127652032 is a wasteful number, since it uses less digits than its factorization.

127652032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 127652032 is about 11298.3198750965. The cubic root of 127652032 is about 503.5113261210.

The spelling of 127652032 in words is "one hundred twenty-seven million, six hundred fifty-two thousand, thirty-two".