127072 has 36 divisors (see below), whose sum is σ = 288036. Its totient is φ = 54720.

The previous prime is 127051. The next prime is 127079. The reversal of 127072 is 270721.

It is a super-2 number, since 2×127072² = 32294586368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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

It is a plaindrome in base 14.

It is a nialpdrome in base 11.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6679 + ... + 6697.

It is an arithmetic number, because the mean of its divisors is an integer number (8001).

2¹²⁷⁰⁷² 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 127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144018).

127072 is an abundant number, since it is smaller than the sum of its proper divisors (160964).

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

127072 is a wasteful number, since it uses less digits than its factorization.

127072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 127072 is about 356.4715977466. The cubic root of 127072 is about 50.2747541048.

Adding to 127072 its reverse (270721), we get a palindrome (397793).

The spelling of 127072 in words is "one hundred twenty-seven thousand, seventy-two", and thus it is an iban number.