75133088 has 96 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 33454080.

The previous prime is 75133061. The next prime is 75133103. The reversal of 75133088 is 88033157.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 844148 + ... + 844236.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^75133088 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 75133088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

75133088 is an abundant number, since it is smaller than the sum of its proper divisors (90340192).

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

75133088 is a wasteful number, since it uses less digits than its factorization.

75133088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 75133088 is about 8667.9344713721. The cubic root of 75133088 is about 421.9656313961.

It can be divided in two parts, 7513 and 3088, that added together give a palindrome (10601).

The spelling of 75133088 in words is "seventy-five million, one hundred thirty-three thousand, eighty-eight".