75685344 has 144 divisors (see below), whose sum is σ = 236202624. Its totient is φ = 20782080.

The previous prime is 75685339. The next prime is 75685391. The reversal of 75685344 is 44358657.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (403200) is a multiple of the sum of its prime divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 75685296 and 75685305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1129599 + ... + 1129665.

It is an arithmetic number, because the mean of its divisors is an integer number (1640296).

Almost surely, 2^75685344 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 75685344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118101312).

75685344 is an abundant number, since it is smaller than the sum of its proper divisors (160517280).

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

75685344 is a wasteful number, since it uses less digits than its factorization.

75685344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 120 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 75685344 is about 8699.7324096779. The cubic root of 75685344 is about 422.9969764327.

The spelling of 75685344 in words is "seventy-five million, six hundred eighty-five thousand, three hundred forty-four".