75056640 has 160 divisors (see below), whose sum is σ = 248957280. Its totient is φ = 19267584.

The previous prime is 75056633. The next prime is 75056677. The reversal of 75056640 is 4665057.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 222552 + ... + 222888.

It is an arithmetic number, because the mean of its divisors is an integer number (1555983).

Almost surely, 2^75056640 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 75056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124478640).

75056640 is an abundant number, since it is smaller than the sum of its proper divisors (173900640).

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

75056640 is a wasteful number, since it uses less digits than its factorization.

75056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 75056640 is about 8663.5235326050. The cubic root of 75056640 is about 421.8224659962.

The spelling of 75056640 in words is "seventy-five million, fifty-six thousand, six hundred forty".