75105152 has 32 divisors (see below), whose sum is σ = 152092200. Its totient is φ = 36933120.

The previous prime is 75105139. The next prime is 75105161. The reversal of 75105152 is 25150157.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2999 + ... + 12617.

Almost surely, 2^75105152 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 75105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76046100).

75105152 is an abundant number, since it is smaller than the sum of its proper divisors (76987048).

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

75105152 is an equidigital number, since it uses as much as digits as its factorization.

75105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9694 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 26.

The square root of 75105152 is about 8666.3228649757. The cubic root of 75105152 is about 421.9133264641.

It can be divided in two parts, 75105 and 152, that added together give a palindrome (75257).

The spelling of 75105152 in words is "seventy-five million, one hundred five thousand, one hundred fifty-two".