127768032 has 72 divisors (see below), whose sum is σ = 415252656. Its totient is φ = 36504576.

The previous prime is 127768021. The next prime is 127768049. The reversal of 127768032 is 230867721.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 29673 + ... + 33704.

It is an arithmetic number, because the mean of its divisors is an integer number (5767398).

Almost surely, 2^127768032 is an apocalyptic number.

127768032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127768032 is an abundant number, since it is smaller than the sum of its proper divisors (287484624).

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

127768032 is a wasteful number, since it uses less digits than its factorization.

127768032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63400 (or 63389 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 127768032 is about 11303.4522160267. The cubic root of 127768032 is about 503.6637969431.

The spelling of 127768032 in words is "one hundred twenty-seven million, seven hundred sixty-eight thousand, thirty-two".