75904032 has 48 divisors (see below), whose sum is σ = 202239072. Its totient is φ = 24921600.

The previous prime is 75904019. The next prime is 75904039. The reversal of 75904032 is 23040957.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×75904032² = 11522844147714048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75904039) 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, 532 + ... + 12332.

It is an arithmetic number, because the mean of its divisors is an integer number (4213314).

Almost surely, 2^75904032 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 75904032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101119536).

75904032 is an abundant number, since it is smaller than the sum of its proper divisors (126335040).

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

75904032 is a wasteful number, since it uses less digits than its factorization.

75904032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11881 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 75904032 is about 8712.2920061256. The cubic root of 75904032 is about 423.4039923114.

Adding to 75904032 its reverse (23040957), we get a palindrome (98944989).

The spelling of 75904032 in words is "seventy-five million, nine hundred four thousand, thirty-two".