75959040 has 144 divisors (see below), whose sum is σ = 246064896. Its totient is φ = 19968000.

The previous prime is 75959029. The next prime is 75959047. The reversal of 75959040 is 4095957.

It is a self number, because there is not a number n which added to its sum of digits gives 75959040.

It is not an unprimeable number, because it can be changed into a prime (75959047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502965 + ... + 503115.

It is an arithmetic number, because the mean of its divisors is an integer number (1708784).

Almost surely, 2^75959040 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 75959040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123032448).

75959040 is an abundant number, since it is smaller than the sum of its proper divisors (170105856).

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

75959040 is a wasteful number, since it uses less digits than its factorization.

75959040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 75959040 is about 8715.4483533551. The cubic root of 75959040 is about 423.5062485517.

The spelling of 75959040 in words is "seventy-five million, nine hundred fifty-nine thousand, forty".