75730720 has 96 divisors (see below), whose sum is σ = 201180672. Its totient is φ = 26729472.

The previous prime is 75730717. The next prime is 75730741. The reversal of 75730720 is 2703757.

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, 47049 + ... + 48631.

It is an arithmetic number, because the mean of its divisors is an integer number (2095632).

Almost surely, 2^75730720 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 75730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100590336).

75730720 is an abundant number, since it is smaller than the sum of its proper divisors (125449952).

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

75730720 is a wasteful number, since it uses less digits than its factorization.

75730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 31.

The square root of 75730720 is about 8702.3399152182. The cubic root of 75730720 is about 423.0814933518.

The spelling of 75730720 in words is "seventy-five million, seven hundred thirty thousand, seven hundred twenty".