75198816 has 144 divisors (see below), whose sum is σ = 266692608. Its totient is φ = 19526400.

The previous prime is 75198793. The next prime is 75198817. The reversal of 75198816 is 61889157.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75198817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20481 + ... + 23871.

It is an arithmetic number, because the mean of its divisors is an integer number (1852032).

Almost surely, 2^75198816 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 75198816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133346304).

75198816 is an abundant number, since it is smaller than the sum of its proper divisors (191493792).

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

75198816 is a wasteful number, since it uses less digits than its factorization.

75198816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3414 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 75198816 is about 8671.7250878934. The cubic root of 75198816 is about 422.0886436578.

It can be divided in two parts, 75 and 198816, that added together give a palindrome (198891).

The spelling of 75198816 in words is "seventy-five million, one hundred ninety-eight thousand, eight hundred sixteen".