75632 has 20 divisors (see below), whose sum is σ = 152520. Its totient is φ = 36288.

The previous prime is 75629. The next prime is 75641. The reversal of 75632 is 23657.

75632 is nontrivially palindromic in base 7.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75598 and 75607.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 75632.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383 + ... + 545.

It is an arithmetic number, because the mean of its divisors is an integer number (7626).

2⁷⁵⁶³² 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 75632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76260).

75632 is an abundant number, since it is smaller than the sum of its proper divisors (76888).

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

75632 is a wasteful number, since it uses less digits than its factorization.

75632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its digits is 1260, while the sum is 23.

The square root of 75632 is about 275.0127269782. The cubic root of 75632 is about 42.2897575180.

It can be divided in two parts, 75 and 632, that added together give a palindrome (707).

The spelling of 75632 in words is "seventy-five thousand, six hundred thirty-two".