127752120 has 256 divisors, whose sum is σ = 459648000. Its totient is φ = 31477248.

The previous prime is 127752109. The next prime is 127752137. The reversal of 127752120 is 21257721.

127752120 is a nontrivial binomial coefficient, being equal to C(15985, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919011 + ... + 919149.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 2^127752120 is an apocalyptic number.

127752120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

127752120 is the 15984-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127752120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824000).

127752120 is an abundant number, since it is smaller than the sum of its proper divisors (331895880).

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

127752120 is a wasteful number, since it uses less digits than its factorization.

127752120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 127752120 is about 11302.7483383467. The cubic root of 127752120 is about 503.6428876151.

The spelling of 127752120 in words is "one hundred twenty-seven million, seven hundred fifty-two thousand, one hundred twenty".