127052 has 12 divisors (see below), whose sum is σ = 232176. Its totient is φ = 60720.

The previous prime is 127051. The next prime is 127079. The reversal of 127052 is 250721.

It is a super-2 number, since 2×127052² = 32284421408, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 127052.

It is not an unprimeable number, because it can be changed into a prime (127051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (19348).

2¹²⁷⁰⁵² is an apocalyptic number.

It is an amenable number.

127052 is a deficient number, since it is larger than the sum of its proper divisors (105124).

127052 is a wasteful number, since it uses less digits than its factorization.

127052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 127052 is about 356.4435439168. The cubic root of 127052 is about 50.2721163671.

Adding to 127052 its reverse (250721), we get a palindrome (377773).

The spelling of 127052 in words is "one hundred twenty-seven thousand, fifty-two".