75096480 has 96 divisors (see below), whose sum is σ = 250496064. Its totient is φ = 18845696.

The previous prime is 75096479. The next prime is 75096499. The reversal of 75096480 is 8469057.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3559 + ... + 12761.

It is an arithmetic number, because the mean of its divisors is an integer number (2609334).

Almost surely, 2^75096480 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 75096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125248032).

75096480 is an abundant number, since it is smaller than the sum of its proper divisors (175399584).

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

75096480 is a wasteful number, since it uses less digits than its factorization.

75096480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 75096480 is about 8665.8225229923. The cubic root of 75096480 is about 421.8970871289.

The spelling of 75096480 in words is "seventy-five million, ninety-six thousand, four hundred eighty".