2572272000 has 192 divisors, whose sum is σ = 9238188960. Its totient is φ = 685900800.

The previous prime is 2572271983. The next prime is 2572272011. The reversal of 2572272000 is 2722752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 135069 + ... + 152931.

Almost surely, 2^2572272000 is an apocalyptic number.

2572272000 is a gapful number since it is divisible by the number (20) 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 2572272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619094480).

2572272000 is an abundant number, since it is smaller than the sum of its proper divisors (6665916960).

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

2572272000 is a wasteful number, since it uses less digits than its factorization.

2572272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17898 (or 17873 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2572272000 is about 50717.5709197513. The cubic root of 2572272000 is about 1370.1631929491.

Adding to 2572272000 its reverse (2722752), we get a palindrome (2574994752).

The spelling of 2572272000 in words is "two billion, five hundred seventy-two million, two hundred seventy-two thousand".