572112000 has 384 divisors, whose sum is σ = 2140959600. Its totient is φ = 146227200.

The previous prime is 572111993. The next prime is 572112007. The reversal of 572112000 is 211275.

It is an interprime number because it is at equal distance from previous prime (572111993) and next prime (572112007).

It can be written as a sum of positive squares in 8 ways, for example, as 31270464 + 540841536 = 5592^2 + 23256^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (572112007) 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 47 ways as a sum of consecutive naturals, for example, 4175932 + ... + 4176068.

Almost surely, 2^572112000 is an apocalyptic number.

572112000 is a gapful number since it is divisible by the number (50) 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 572112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070479800).

572112000 is an abundant number, since it is smaller than the sum of its proper divisors (1568847600).

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

572112000 is a wasteful number, since it uses less digits than its factorization.

572112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 572112000 is about 23918.8628492242. The cubic root of 572112000 is about 830.1572257432.

Adding to 572112000 its reverse (211275), we get a palindrome (572323275).

The spelling of 572112000 in words is "five hundred seventy-two million, one hundred twelve thousand".