127525032 has 48 divisors (see below), whose sum is σ = 346488480. Its totient is φ = 42372000.

The previous prime is 127525031. The next prime is 127525043. The reversal of 127525032 is 230525721.

It is a junction number, because it is equal to n+sod(n) for n = 127524987 and 127525005.

It is not an unprimeable number, because it can be changed into a prime (127525031) 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 11 ways as a sum of consecutive naturals, for example, 21157 + ... + 26507.

It is an arithmetic number, because the mean of its divisors is an integer number (7218510).

Almost surely, 2^127525032 is an apocalyptic number.

127525032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127525032 is an abundant number, since it is smaller than the sum of its proper divisors (218963448).

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

127525032 is a wasteful number, since it uses less digits than its factorization.

127525032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5694 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 127525032 is about 11292.6981718277. The cubic root of 127525032 is about 503.3442908988.

The spelling of 127525032 in words is "one hundred twenty-seven million, five hundred twenty-five thousand, thirty-two".