75201468 has 48 divisors (see below), whose sum is σ = 185646720. Its totient is φ = 23626944.

The previous prime is 75201463. The next prime is 75201521. The reversal of 75201468 is 86410257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75201463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51030 + ... + 52482.

It is an arithmetic number, because the mean of its divisors is an integer number (3867640).

Almost surely, 2^75201468 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 75201468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92823360).

75201468 is an abundant number, since it is smaller than the sum of its proper divisors (110445252).

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

75201468 is a wasteful number, since it uses less digits than its factorization.

75201468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 75201468 is about 8671.8779972968. The cubic root of 75201468 is about 422.0936054643.

The spelling of 75201468 in words is "seventy-five million, two hundred one thousand, four hundred sixty-eight".