575135472 has 80 divisors (see below), whose sum is σ = 1572320000. Its totient is φ = 180652032.

The previous prime is 575135471. The next prime is 575135503. The reversal of 575135472 is 274531575.

It is a happy number.

It is a super-3 number, since 3×575135472³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 575135472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575135471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179904 + ... + 183072.

It is an arithmetic number, because the mean of its divisors is an integer number (19654000).

Almost surely, 2^575135472 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 575135472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786160000).

575135472 is an abundant number, since it is smaller than the sum of its proper divisors (997184528).

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

575135472 is a wasteful number, since it uses less digits than its factorization.

575135472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3392 counting only the distinct ones).

The product of its digits is 147000, while the sum is 39.

The square root of 575135472 is about 23981.9822366709. The cubic root of 575135472 is about 831.6170497872.

The spelling of 575135472 in words is "five hundred seventy-five million, one hundred thirty-five thousand, four hundred seventy-two".