575712072 has 192 divisors, whose sum is σ = 1801079280. Its totient is φ = 164560896.

The previous prime is 575712041. The next prime is 575712097. The reversal of 575712072 is 270217575.

575712072 is a `hidden beast` number, since 575 + 7 + 12 + 0 + 72 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 258373476 + 317338596 = 16074^2 + 17814^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 1543278 + ... + 1543650.

Almost surely, 2^575712072 is an apocalyptic number.

575712072 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 575712072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900539640).

575712072 is an abundant number, since it is smaller than the sum of its proper divisors (1225367208).

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

575712072 is a wasteful number, since it uses less digits than its factorization.

575712072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 575712072 is about 23994.0007501875. Note that the first 3 decimals coincide. The cubic root of 575712072 is about 831.8948685270.

Subtracting from 575712072 its sum of digits (36), we obtain a square (575712036 = 23994²).

The spelling of 575712072 in words is "five hundred seventy-five million, seven hundred twelve thousand, seventy-two".