75124080 has 120 divisors (see below), whose sum is σ = 254992608. Its totient is φ = 19819008.

The previous prime is 75124057. The next prime is 75124111. The reversal of 75124080 is 8042157.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73654 + ... + 74666.

Almost surely, 2^75124080 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 75124080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127496304).

75124080 is an abundant number, since it is smaller than the sum of its proper divisors (179868528).

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

75124080 is a wasteful number, since it uses less digits than its factorization.

75124080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 75124080 is about 8667.4148395009. The cubic root of 75124080 is about 421.9487670184.

The spelling of 75124080 in words is "seventy-five million, one hundred twenty-four thousand, eighty".