75450 has 24 divisors (see below), whose sum is σ = 187488. Its totient is φ = 20080.

The previous prime is 75437. The next prime is 75479. The reversal of 75450 is 5457.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

75450 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 11 ways as a sum of consecutive naturals, for example, 102 + ... + 401.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2⁷⁵⁴⁵⁰ is an apocalyptic number.

75450 is an abundant number, since it is smaller than the sum of its proper divisors (112038).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

75450 is a wasteful number, since it uses less digits than its factorization.

75450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 75450 is about 274.6816338964. The cubic root of 75450 is about 42.2558084051.

It can be divided in two parts, 75 and 450, that added together give a palindrome (525).

The spelling of 75450 in words is "seventy-five thousand, four hundred fifty".