75932032 has 64 divisors (see below), whose sum is σ = 166464000. Its totient is φ = 34214400.

The previous prime is 75931991. The next prime is 75932033. The reversal of 75932032 is 23023957.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 75931985 and 75932003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75932033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280057 + ... + 280327.

It is an arithmetic number, because the mean of its divisors is an integer number (2601000).

Almost surely, 2^75932032 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 75932032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83232000).

75932032 is an abundant number, since it is smaller than the sum of its proper divisors (90531968).

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

75932032 is a wasteful number, since it uses less digits than its factorization.

75932032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 75932032 is about 8713.8987829788. The cubic root of 75932032 is about 423.4560486340.

Adding to 75932032 its reverse (23023957), we get a palindrome (98955989).

The spelling of 75932032 in words is "seventy-five million, nine hundred thirty-two thousand, thirty-two".