75620384 has 48 divisors (see below), whose sum is σ = 170755200. Its totient is φ = 32292864.

The previous prime is 75620381. The next prime is 75620411. The reversal of 75620384 is 48302657.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75620381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97952 + ... + 98720.

It is an arithmetic number, because the mean of its divisors is an integer number (3557400).

Almost surely, 2^75620384 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 75620384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85377600).

75620384 is an abundant number, since it is smaller than the sum of its proper divisors (95134816).

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

75620384 is a wasteful number, since it uses less digits than its factorization.

75620384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 75620384 is about 8695.9981600734. The cubic root of 75620384 is about 422.8759237197.

The spelling of 75620384 in words is "seventy-five million, six hundred twenty thousand, three hundred eighty-four".