127920352 has 48 divisors (see below), whose sum is σ = 289572192. Its totient is φ = 54489600.

The previous prime is 127920343. The next prime is 127920379. The reversal of 127920352 is 253029721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37102 + ... + 40402.

It is an arithmetic number, because the mean of its divisors is an integer number (6032754).

Almost surely, 2^127920352 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 127920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144786096).

127920352 is an abundant number, since it is smaller than the sum of its proper divisors (161651840).

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

127920352 is a wasteful number, since it uses less digits than its factorization.

127920352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 127920352 is about 11310.1879736811. The cubic root of 127920352 is about 503.8638668191.

The spelling of 127920352 in words is "one hundred twenty-seven million, nine hundred twenty thousand, three hundred fifty-two".