127506720 has 384 divisors, whose sum is σ = 487710720. Its totient is φ = 27648000.

The previous prime is 127506719. The next prime is 127506721. The reversal of 127506720 is 27605721.

It is an interprime number because it is at equal distance from previous prime (127506719) and next prime (127506721).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (127506721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3109900 + ... + 3109940.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^127506720 is an apocalyptic number.

127506720 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 127506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

127506720 is an abundant number, since it is smaller than the sum of its proper divisors (360204000).

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

127506720 is a wasteful number, since it uses less digits than its factorization.

127506720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 127506720 is about 11291.8873533170. The cubic root of 127506720 is about 503.3201971144.

Subtracting from 127506720 its reverse (27605721), we obtain a palindrome (99900999).

The spelling of 127506720 in words is "one hundred twenty-seven million, five hundred six thousand, seven hundred twenty".