75582720000 has 660 divisors, whose sum is σ = 283273725735. Its totient is φ = 20155392000.

The previous prime is 75582719987. The next prime is 75582720019. The reversal of 75582720000 is 2728557.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

75582720000 is a `hidden beast` number, since 7 + 5 + 582 + 72 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17474724864 + 58107995136 = 132192^2 + 241056^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=194400.

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

It is a nialpdrome in base 6.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5400 × 3240 × 4320.

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 54 ways as a sum of consecutive naturals, for example, 15116543998 + ... + 15116544002.

Almost surely, 2^75582720000 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 75582720000

75582720000 is an abundant number, since it is smaller than the sum of its proper divisors (207691005735).

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

75582720000 is an frugal number, since it uses more digits than its factorization.

75582720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

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

The spelling of 75582720000 in words is "seventy-five billion, five hundred eighty-two million, seven hundred twenty thousand".