75055104 has 90 divisors (see below), whose sum is σ = 217245210. Its totient is φ = 24969216.

The previous prime is 75055091. The next prime is 75055121. The reversal of 75055104 is 40155057.

It can be written as a sum of positive squares in only one way, i.e., 71368704 + 3686400 = 8448^2 + 1920^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 147202 + ... + 147710.

Almost surely, 2^75055104 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 75055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108622605).

75055104 is an abundant number, since it is smaller than the sum of its proper divisors (142190106).

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

75055104 is an equidigital number, since it uses as much as digits as its factorization.

75055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 75055104 is about 8663.4348846171. The cubic root of 75055104 is about 421.8195885083.

The spelling of 75055104 in words is "seventy-five million, fifty-five thousand, one hundred four".