127997532 has 72 divisors (see below), whose sum is σ = 360491040. Its totient is φ = 38021760.

The previous prime is 127997521. The next prime is 127997549. The reversal of 127997532 is 235799721.

127997532 is a `hidden beast` number, since 1 + 27 + 9 + 97 + 532 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8857 + ... + 18287.

It is an arithmetic number, because the mean of its divisors is an integer number (5006820).

Almost surely, 2^127997532 is an apocalyptic number.

127997532 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 127997532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180245520).

127997532 is an abundant number, since it is smaller than the sum of its proper divisors (232493508).

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

127997532 is a wasteful number, since it uses less digits than its factorization.

127997532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9478 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 127997532 is about 11313.5994272380. The cubic root of 127997532 is about 503.9651808901.

The spelling of 127997532 in words is "one hundred twenty-seven million, nine hundred ninety-seven thousand, five hundred thirty-two".