75432 has 32 divisors (see below), whose sum is σ = 216000. Its totient is φ = 21504.

The previous prime is 75431. The next prime is 75437. The reversal of 75432 is 23457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 75399 and 75408.

It is not an unprimeable number, because it can be changed into a prime (75431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2⁷⁵⁴³² 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 75432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108000).

75432 is an abundant number, since it is smaller than the sum of its proper divisors (140568).

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

75432 is a wasteful number, since it uses less digits than its factorization.

75432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 75432 is about 274.6488667371. The cubic root of 75432 is about 42.2524478350.

Adding to 75432 its reverse (23457), we get a palindrome (98889).

It can be divided in two parts, 75 and 432, that multiplied together give a square (32400 = 180²).

The spelling of 75432 in words is "seventy-five thousand, four hundred thirty-two".