75726233856 has 945 divisors, whose sum is σ = 286289394909. Its totient is φ = 19971753984.

The previous prime is 75726233839. The next prime is 75726233861. The reversal of 75726233856 is 65833262757.

It is a happy number.

The square root of 75726233856 is 275184.

It is a perfect power (a square), and thus also a powerful number.

75726233856 is a `hidden beast` number, since 7 + 5 + 7 + 2 + 623 + 3 + 8 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11202105600 + 64524128256 = 105840^2 + 254016^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (12700800) is a multiple of the sum of its prime divisors (25).

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 104 ways as a sum of consecutive naturals, for example, 5825094906 + ... + 5825094918.

Almost surely, 2^75726233856 is an apocalyptic number.

75726233856 is the 275184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75726233856

75726233856 is an abundant number, since it is smaller than the sum of its proper divisors (210563161053).

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

75726233856 is an frugal number, since it uses more digits than its factorization.

75726233856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 25 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 75726233856 in words is "seventy-five billion, seven hundred twenty-six million, two hundred thirty-three thousand, eight hundred fifty-six".