75272 has 12 divisors (see below), whose sum is σ = 142605. Its totient is φ = 37248.

The previous prime is 75269. The next prime is 75277. The reversal of 75272 is 27257.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 196 = 274^2 + 14^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=194.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 728 + ... + 824.

2⁷⁵²⁷² is an apocalyptic number.

It is an amenable number.

75272 is a deficient number, since it is larger than the sum of its proper divisors (67333).

75272 is an equidigital number, since it uses as much as digits as its factorization.

75272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 99 counting only the distinct ones).

The product of its digits is 980, while the sum is 23.

The square root of 75272 is about 274.3574311004. The cubic root of 75272 is about 42.2225525777. Note that the first 3 decimals are identical.

The spelling of 75272 in words is "seventy-five thousand, two hundred seventy-two".