75506004 has 72 divisors (see below), whose sum is σ = 220321920. Its totient is φ = 21356352.

The previous prime is 75506003. The next prime is 75506009. The reversal of 75506004 is 40060557.

75506004 is a `hidden beast` number, since 7 + 5 + 50 + 600 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75506003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24502 + ... + 27410.

Almost surely, 2^75506004 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 75506004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160960).

75506004 is an abundant number, since it is smaller than the sum of its proper divisors (144815916).

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

75506004 is a wasteful number, since it uses less digits than its factorization.

75506004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75506004 is about 8689.4190829997. The cubic root of 75506004 is about 422.6626084168.

The spelling of 75506004 in words is "seventy-five million, five hundred six thousand, four".