75618144 has 96 divisors (see below), whose sum is σ = 252080640. Its totient is φ = 21603456.

The previous prime is 75618139. The next prime is 75618199. The reversal of 75618144 is 44181657.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 75618099 and 75618108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204 + ... + 12299.

It is an arithmetic number, because the mean of its divisors is an integer number (2625840).

Almost surely, 2^75618144 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 75618144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126040320).

75618144 is an abundant number, since it is smaller than the sum of its proper divisors (176462496).

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

75618144 is a wasteful number, since it uses less digits than its factorization.

75618144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12529 (or 12515 counting only the distinct ones).

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

The square root of 75618144 is about 8695.8693642442. The cubic root of 75618144 is about 422.8717482520.

The spelling of 75618144 in words is "seventy-five million, six hundred eighteen thousand, one hundred forty-four".