575875872 has 384 divisors, whose sum is σ = 2032128000. Its totient is φ = 156349440.

The previous prime is 575875789. The next prime is 575875879. The reversal of 575875872 is 278578575.

575875872 is a `hidden beast` number, since 5 + 7 + 58 + 7 + 587 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (575875879) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7289529 + ... + 7289607.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2^575875872 is an apocalyptic number.

575875872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575875872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

575875872 is an abundant number, since it is smaller than the sum of its proper divisors (1456252128).

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

575875872 is a wasteful number, since it uses less digits than its factorization.

575875872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its digits is 5488000, while the sum is 54.

The square root of 575875872 is about 23997.4138606642. The cubic root of 575875872 is about 831.9737571851.

The spelling of 575875872 in words is "five hundred seventy-five million, eight hundred seventy-five thousand, eight hundred seventy-two".