75385620 has 96 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 19936512.

The previous prime is 75385601. The next prime is 75385643. The reversal of 75385620 is 2658357.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73471 + ... + 74489.

It is an arithmetic number, because the mean of its divisors is an integer number (2463300).

Almost surely, 2^75385620 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 75385620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400).

75385620 is an abundant number, since it is smaller than the sum of its proper divisors (161091180).

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

75385620 is a wasteful number, since it uses less digits than its factorization.

75385620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 75385620 is about 8682.4892743959. The cubic root of 75385620 is about 422.4378630186.

The spelling of 75385620 in words is "seventy-five million, three hundred eighty-five thousand, six hundred twenty".