75582720 has 198 divisors, whose sum is σ = 271564818. Its totient is φ = 20155392.

The previous prime is 75582709. The next prime is 75582733. The reversal of 75582720 is 2728557.

75582720 is a `hidden beast` number, since 7 + 5 + 582 + 72 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60466176 + 15116544 = 7776^2 + 3888^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 540 × 324 × 432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 15116542 + ... + 15116546.

Almost surely, 2^75582720 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 75582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135782409).

75582720 is an abundant number, since it is smaller than the sum of its proper divisors (195982098).

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

75582720 is an frugal number, since it uses more digits than its factorization.

75582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75582720 is about 8693.8322965192. The cubic root of 75582720 is about 422.8057052462.

The spelling of 75582720 in words is "seventy-five million, five hundred eighty-two thousand, seven hundred twenty".