75505088 has 56 divisors (see below), whose sum is σ = 162885120. Its totient is φ = 34594560.

The previous prime is 75505061. The next prime is 75505093. The reversal of 75505088 is 88050557.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36695 + ... + 38697.

Almost surely, 2^75505088 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 75505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81442560).

75505088 is an abundant number, since it is smaller than the sum of its proper divisors (87380032).

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

75505088 is a wasteful number, since it uses less digits than its factorization.

75505088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 38.

The square root of 75505088 is about 8689.3663750587. The cubic root of 75505088 is about 422.6608992348.

The spelling of 75505088 in words is "seventy-five million, five hundred five thousand, eighty-eight".