75382560 has 144 divisors (see below), whose sum is σ = 280687680. Its totient is φ = 18270720.

The previous prime is 75382553. The next prime is 75382561. The reversal of 75382560 is 6528357.

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

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

It is not an unprimeable number, because it can be changed into a prime (75382561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13461 + ... + 18219.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^75382560 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 75382560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

75382560 is an abundant number, since it is smaller than the sum of its proper divisors (205305120).

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

75382560 is a wasteful number, since it uses less digits than its factorization.

75382560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4791 (or 4780 counting only the distinct ones).

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

The square root of 75382560 is about 8682.3130558625. The cubic root of 75382560 is about 422.4321471746.

The spelling of 75382560 in words is "seventy-five million, three hundred eighty-two thousand, five hundred sixty".