75682720 has 96 divisors (see below), whose sum is σ = 186701760. Its totient is φ = 28968960.

The previous prime is 75682703. The next prime is 75682751. The reversal of 75682720 is 2728657.

It is a self number, because there is not a number n which added to its sum of digits gives 75682720.

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, 544411 + ... + 544549.

It is an arithmetic number, because the mean of its divisors is an integer number (1944810).

Almost surely, 2^75682720 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 75682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93350880).

75682720 is an abundant number, since it is smaller than the sum of its proper divisors (111019040).

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

75682720 is a wasteful number, since it uses less digits than its factorization.

75682720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 75682720 is about 8699.5815991345. The cubic root of 75682720 is about 422.9920879614.

The spelling of 75682720 in words is "seventy-five million, six hundred eighty-two thousand, seven hundred twenty".