75311360 has 72 divisors (see below), whose sum is σ = 191060856. Its totient is φ = 28344320.

The previous prime is 75311339. The next prime is 75311371. The reversal of 75311360 is 6311357.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6885376 + 68425984 = 2624^2 + 8272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20030 + ... + 23490.

It is an arithmetic number, because the mean of its divisors is an integer number (2653623).

Almost surely, 2^75311360 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 75311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95530428).

75311360 is an abundant number, since it is smaller than the sum of its proper divisors (115749496).

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

75311360 is a wasteful number, since it uses less digits than its factorization.

75311360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 75311360 is about 8678.2117973693. The cubic root of 75311360 is about 422.2991073693.

The spelling of 75311360 in words is "seventy-five million, three hundred eleven thousand, three hundred sixty".