127852032 has 320 divisors, whose sum is σ = 452542464. Its totient is φ = 31088640.

The previous prime is 127851979. The next prime is 127852051. The reversal of 127852032 is 230258721.

It is a super-4 number, since 4×127852032⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2720233 + ... + 2720279.

Almost surely, 2^127852032 is an apocalyptic number.

127852032 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 127852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226271232).

127852032 is an abundant number, since it is smaller than the sum of its proper divisors (324690432).

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

127852032 is a wasteful number, since it uses less digits than its factorization.

127852032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 127852032 is about 11307.1672845147. The cubic root of 127852032 is about 503.7741492486.

The spelling of 127852032 in words is "one hundred twenty-seven million, eight hundred fifty-two thousand, thirty-two".