75078240 has 96 divisors (see below), whose sum is σ = 239936256. Its totient is φ = 19729920.

The previous prime is 75078229. The next prime is 75078247. The reversal of 75078240 is 4287057.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75078247) 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, 32979 + ... + 35181.

It is an arithmetic number, because the mean of its divisors is an integer number (2499336).

Almost surely, 2^75078240 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 75078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119968128).

75078240 is an abundant number, since it is smaller than the sum of its proper divisors (164858016).

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

75078240 is a wasteful number, since it uses less digits than its factorization.

75078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 75078240 is about 8664.7700488819. The cubic root of 75078240 is about 421.8629265132.

The spelling of 75078240 in words is "seventy-five million, seventy-eight thousand, two hundred forty".