127203252 has 96 divisors (see below), whose sum is σ = 346375680. Its totient is φ = 35925120.

The previous prime is 127203221. The next prime is 127203253. The reversal of 127203252 is 252302721.

It is a happy number.

127203252 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

127203252 is a modest number, since divided by 3252 gives 1272 as remainder.

127203252 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127203253) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 167658 + ... + 168414.

It is an arithmetic number, because the mean of its divisors is an integer number (3608080).

Almost surely, 2^127203252 is an apocalyptic number.

127203252 is a gapful number since it is divisible by the number (12) 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 127203252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173187840).

127203252 is an abundant number, since it is smaller than the sum of its proper divisors (219172428).

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

127203252 is a wasteful number, since it uses less digits than its factorization.

127203252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 127203252 is about 11278.4419136687. The cubic root of 127203252 is about 502.9205765824.

Adding to 127203252 its reverse (252302721), we get a palindrome (379505973).

The spelling of 127203252 in words is "one hundred twenty-seven million, two hundred three thousand, two hundred fifty-two".