127572 has 12 divisors (see below), whose sum is σ = 297696. Its totient is φ = 42520.

The previous prime is 127549. The next prime is 127579. The reversal of 127572 is 275721.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127579) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5304 + ... + 5327.

It is an arithmetic number, because the mean of its divisors is an integer number (24808).

2¹²⁷⁵⁷² is an apocalyptic number.

127572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

127572 is an abundant number, since it is smaller than the sum of its proper divisors (170124).

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

127572 is a wasteful number, since it uses less digits than its factorization.

127572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10638 (or 10636 counting only the distinct ones).

The product of its digits is 980, while the sum is 24.

The square root of 127572 is about 357.1722273638. The cubic root of 127572 is about 50.3406077913.

The spelling of 127572 in words is "one hundred twenty-seven thousand, five hundred seventy-two".