75080832 has 64 divisors (see below), whose sum is σ = 208128960. Its totient is φ = 23936000.

The previous prime is 75080801. The next prime is 75080833. The reversal of 75080832 is 23808057.

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 = 75080793 and 75080802.

It is not an unprimeable number, because it can be changed into a prime (75080833) 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, 4582 + ... + 13082.

It is an arithmetic number, because the mean of its divisors is an integer number (3252015).

Almost surely, 2^75080832 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 75080832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104064480).

75080832 is an abundant number, since it is smaller than the sum of its proper divisors (133048128).

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

75080832 is a wasteful number, since it uses less digits than its factorization.

75080832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8541 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 75080832 is about 8664.9196187847. The cubic root of 75080832 is about 421.8677812537.

Adding to 75080832 its reverse (23808057), we get a palindrome (98888889).

The spelling of 75080832 in words is "seventy-five million, eighty thousand, eight hundred thirty-two".