75001168 has 40 divisors (see below), whose sum is σ = 159784416. Its totient is φ = 33820800.

The previous prime is 75001153. The next prime is 75001169. The reversal of 75001168 is 86110057.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75001169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21430 + ... + 24682.

Almost surely, 2^75001168 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 75001168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79892208).

75001168 is an abundant number, since it is smaller than the sum of its proper divisors (84783248).

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

75001168 is a wasteful number, since it uses less digits than its factorization.

75001168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 75001168 is about 8660.3214720933. The cubic root of 75001168 is about 421.7185218159.

Subtracting 75001168 from its reverse (86110057), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 7500 and 1168, that added together give a palindrome (8668).

The spelling of 75001168 in words is "seventy-five million, one thousand, one hundred sixty-eight".