127625216 has 48 divisors (see below), whose sum is σ = 258132420. Its totient is φ = 63078400.

The previous prime is 127625207. The next prime is 127625263. The reversal of 127625216 is 612526721.

It can be written as a sum of positive squares in 2 ways, for example, as 127599616 + 25600 = 11296^2 + 160^2 .

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

Its product of digits (10080) is a multiple of the sum of its prime divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 206540 + ... + 207156.

Almost surely, 2^127625216 is an apocalyptic number.

127625216 is a gapful number since it is divisible by the number (16) 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 127625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129066210).

127625216 is an abundant number, since it is smaller than the sum of its proper divisors (130507204).

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

127625216 is an equidigital number, since it uses as much as digits as its factorization.

127625216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 720 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 127625216 is about 11297.1330876466. The cubic root of 127625216 is about 503.4760659294.

The spelling of 127625216 in words is "one hundred twenty-seven million, six hundred twenty-five thousand, two hundred sixteen".