75249 has 10 divisors (see below), whose sum is σ = 112530. Its totient is φ = 50112.

The previous prime is 75239. The next prime is 75253. The reversal of 75249 is 94257.

It can be written as a sum of positive squares in only one way, i.e., 42849 + 32400 = 207^2 + 180^2 .

It is not a de Polignac number, because 75249 - 2⁵ = 75217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (75209) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 384 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (11253).

2⁷⁵²⁴⁹ is an apocalyptic number.

It is an amenable number.

75249 is a deficient number, since it is larger than the sum of its proper divisors (37281).

75249 is an equidigital number, since it uses as much as digits as its factorization.

75249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 932 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 75249 is about 274.3155117743. The cubic root of 75249 is about 42.2182516529.

It can be divided in two parts, 75 and 249, that added together give a square (324 = 18²).

The spelling of 75249 in words is "seventy-five thousand, two hundred forty-nine".