127132720 has 80 divisors (see below), whose sum is σ = 347290272. Its totient is φ = 42670080.

The previous prime is 127132699. The next prime is 127132727. The reversal of 127132720 is 27231721.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (127132727) 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 15 ways as a sum of consecutive naturals, for example, 5884 + ... + 16996.

Almost surely, 2^127132720 is an apocalyptic number.

127132720 is a gapful number since it is divisible by the number (10) 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 127132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173645136).

127132720 is an abundant number, since it is smaller than the sum of its proper divisors (220157552).

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

127132720 is a wasteful number, since it uses less digits than its factorization.

127132720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11150 (or 11144 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 127132720 is about 11275.3146297565. The cubic root of 127132720 is about 502.8276058138.

Subtracting from 127132720 its reverse (27231721), we obtain a palindrome (99900999).

The spelling of 127132720 in words is "one hundred twenty-seven million, one hundred thirty-two thousand, seven hundred twenty".