127005952 has 36 divisors (see below), whose sum is σ = 254345140. Its totient is φ = 63295488.

The previous prime is 127005947. The next prime is 127005953. The reversal of 127005952 is 259500721.

It can be written as a sum of positive squares in 2 ways, for example, as 57517056 + 69488896 = 7584^2 + 8336^2 .

It is a super-2 number, since 2×127005952² = 32261023686852608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127005953) 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, 104098 + ... + 105310.

Almost surely, 2^127005952 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 127005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127172570).

127005952 is an abundant number, since it is smaller than the sum of its proper divisors (127339188).

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

127005952 is an equidigital number, since it uses as much as digits as its factorization.

127005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 127005952 is about 11269.6917437878. The cubic root of 127005952 is about 502.6604218709.

The spelling of 127005952 in words is "one hundred twenty-seven million, five thousand, nine hundred fifty-two".