75258240 has 128 divisors (see below), whose sum is σ = 252633600. Its totient is φ = 19003392.

The previous prime is 75258229. The next prime is 75258257. The reversal of 75258240 is 4285257.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35449 + ... + 37511.

It is an arithmetic number, because the mean of its divisors is an integer number (1973700).

Almost surely, 2^75258240 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 75258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126316800).

75258240 is an abundant number, since it is smaller than the sum of its proper divisors (177375360).

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

75258240 is a wasteful number, since it uses less digits than its factorization.

75258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 75258240 is about 8675.1507191518. The cubic root of 75258240 is about 422.1997960798.

The spelling of 75258240 in words is "seventy-five million, two hundred fifty-eight thousand, two hundred forty".