75468 has 24 divisors (see below), whose sum is σ = 185920. Its totient is φ = 23760.

The previous prime is 75437. The next prime is 75479. The reversal of 75468 is 86457.

It is a happy number.

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 393.

2⁷⁵⁴⁶⁸ 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 75468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92960).

75468 is an abundant number, since it is smaller than the sum of its proper divisors (110452).

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

75468 is a wasteful number, since it uses less digits than its factorization.

75468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 75468 is about 274.7143971473. The cubic root of 75468 is about 42.2591684408.

The spelling of 75468 in words is "seventy-five thousand, four hundred sixty-eight".