75132288 has 288 divisors, whose sum is σ = 276630120. Its totient is φ = 19514880.

The previous prime is 75132241. The next prime is 75132319. The reversal of 75132288 is 88223157.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×75132288³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6830203 + ... + 6830213.

Almost surely, 2^75132288 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 75132288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138315060).

75132288 is an abundant number, since it is smaller than the sum of its proper divisors (201497832).

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

75132288 is a wasteful number, since it uses less digits than its factorization.

75132288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 75132288 is about 8667.8883241537. Note that the first 3 decimals coincide. The cubic root of 75132288 is about 421.9641337262.

It can be divided in two parts, 7513 and 2288, that added together give a square (9801 = 99²).

The spelling of 75132288 in words is "seventy-five million, one hundred thirty-two thousand, two hundred eighty-eight".