127368000 has 336 divisors, whose sum is σ = 479054160. Its totient is φ = 32256000.

The previous prime is 127367993. The next prime is 127368019. The reversal of 127368000 is 863721.

It can be written as a sum of positive squares in 8 ways, for example, as 77580864 + 49787136 = 8808^2 + 7056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2087970 + ... + 2088030.

Almost surely, 2^127368000 is an apocalyptic number.

127368000 is a gapful number since it is divisible by the number (10) 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 127368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239527080).

127368000 is an abundant number, since it is smaller than the sum of its proper divisors (351686160).

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

127368000 is a wasteful number, since it uses less digits than its factorization.

127368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 127368000 is about 11285.7432187694. The cubic root of 127368000 is about 503.1376030432.

It can be divided in two parts, 12736 and 8000, that added together give a 4-th power (20736 = 12⁴).

The spelling of 127368000 in words is "one hundred twenty-seven million, three hundred sixty-eight thousand".