127472 has 20 divisors (see below), whose sum is σ = 255936. Its totient is φ = 61440.

The previous prime is 127453. The next prime is 127481. The reversal of 127472 is 274721.

127472 is an admirable number.

It is a super-2 number, since 2×127472^{2} = 32498221568, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

127472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 368 + ... + 624.

2^{127472} 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 127472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127968).

127472 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

127472 is a wasteful number, since it uses less digits than its factorization.

127472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 784, while the sum is 23.

The square root of 127472 is about 357.0322114320. The cubic root of 127472 is about 50.3274508376.

Subtracting from 127472 its sum of digits (23), we obtain a square (127449 = 357^{2}).

The spelling of 127472 in words is "one hundred twenty-seven thousand, four hundred seventy-two", and thus it is an iban number.

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