127552352 has 48 divisors (see below), whose sum is σ = 263015424. Its totient is φ = 60816000.

The previous prime is 127552303. The next prime is 127552361. The reversal of 127552352 is 253255721.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69527 + ... + 71337.

It is an arithmetic number, because the mean of its divisors is an integer number (5479488).

Almost surely, 2^127552352 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 127552352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131507712).

127552352 is an abundant number, since it is smaller than the sum of its proper divisors (135463072).

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

127552352 is a wasteful number, since it uses less digits than its factorization.

127552352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1915 counting only the distinct ones).

The product of its digits is 21000, while the sum is 32.

The square root of 127552352 is about 11293.9077382454. The cubic root of 127552352 is about 503.3802325591.

The spelling of 127552352 in words is "one hundred twenty-seven million, five hundred fifty-two thousand, three hundred fifty-two".