127296000 has 480 divisors, whose sum is σ = 522810288. Its totient is φ = 29491200.

The previous prime is 127295999. The next prime is 127296011. The reversal of 127296000 is 692721.

It can be written as a sum of positive squares in 8 ways, for example, as 2214144 + 125081856 = 1488^2 + 11184^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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, 7487992 + ... + 7488008.

Almost surely, 2^127296000 is an apocalyptic number.

127296000 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 127296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261405144).

127296000 is an abundant number, since it is smaller than the sum of its proper divisors (395514288).

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

127296000 is a wasteful number, since it uses less digits than its factorization.

127296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 127296000 is about 11282.5529026014. The cubic root of 127296000 is about 503.0427787660.

The spelling of 127296000 in words is "one hundred twenty-seven million, two hundred ninety-six thousand".