127792 has 30 divisors (see below), whose sum is σ = 289788. Its totient is φ = 54432.

The previous prime is 127781. The next prime is 127807. The reversal of 127792 is 297721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 127792.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 703 + ... + 865.

2¹²⁷⁷⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144894).

127792 is an abundant number, since it is smaller than the sum of its proper divisors (161996).

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

127792 is a wasteful number, since it uses less digits than its factorization.

127792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its digits is 1764, while the sum is 28.

The square root of 127792 is about 357.4800693745. The cubic root of 127792 is about 50.3695289064.

It can be divided in two parts, 1277 and 92, that added together give a square (1369 = 37²).

The spelling of 127792 in words is "one hundred twenty-seven thousand, seven hundred ninety-two".