127009752 has 64 divisors (see below), whose sum is σ = 327909600. Its totient is φ = 40965120.

The previous prime is 127009741. The next prime is 127009781. The reversal of 127009752 is 257900721.

It is a super-2 number, since 2×127009752² = 32262954206203008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249274 + ... + 249782.

Almost surely, 2^127009752 is an apocalyptic number.

127009752 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 127009752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163954800).

127009752 is an abundant number, since it is smaller than the sum of its proper divisors (200899848).

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

127009752 is a wasteful number, since it uses less digits than its factorization.

127009752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 127009752 is about 11269.8603363130. The cubic root of 127009752 is about 502.6654349970.

The spelling of 127009752 in words is "one hundred twenty-seven million, nine thousand, seven hundred fifty-two".