75475904 has 56 divisors (see below), whose sum is σ = 180197760. Its totient is φ = 30640896.

The previous prime is 75475901. The next prime is 75475909. The reversal of 75475904 is 40957457.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×75475904² = 11393224169234432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75475901) 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, 4079 + ... + 12945.

Almost surely, 2^75475904 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 75475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90098880).

75475904 is an abundant number, since it is smaller than the sum of its proper divisors (104721856).

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

75475904 is a wasteful number, since it uses less digits than its factorization.

75475904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8905 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The square root of 75475904 is about 8687.6869188525. The cubic root of 75475904 is about 422.6064370099.

The spelling of 75475904 in words is "seventy-five million, four hundred seventy-five thousand, nine hundred four".