75275904 has 128 divisors (see below), whose sum is σ = 222082560. Its totient is φ = 22400000.

The previous prime is 75275903. The next prime is 75275923. The reversal of 75275904 is 40957257.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (75275903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299779 + ... + 300029.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^75275904 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 75275904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111041280).

75275904 is an abundant number, since it is smaller than the sum of its proper divisors (146806656).

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

75275904 is a wasteful number, since it uses less digits than its factorization.

75275904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The square root of 75275904 is about 8676.1687397146. The cubic root of 75275904 is about 422.2328252595.

It can be divided in two parts, 7527 and 5904, that added together give a palindrome (13431).

The spelling of 75275904 in words is "seventy-five million, two hundred seventy-five thousand, nine hundred four".