75456 has 42 divisors (see below), whose sum is σ = 217932. Its totient is φ = 24960.

The previous prime is 75437. The next prime is 75479. The reversal of 75456 is 65457.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75456.

It is an unprimeable number.

75456 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 5 ways as a sum of consecutive naturals, for example, 511 + ... + 641.

2⁷⁵⁴⁵⁶ 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 75456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108966).

75456 is an abundant number, since it is smaller than the sum of its proper divisors (142476).

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

75456 is a wasteful number, since it uses less digits than its factorization.

75456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 75456 is about 274.6925554142. The cubic root of 75456 is about 42.2569284764.

Subtracting from 75456 its reverse (65457), we obtain a palindrome (9999).

It can be divided in two parts, 754 and 56, that multiplied together give a palindrome (42224).

The spelling of 75456 in words is "seventy-five thousand, four hundred fifty-six".