2572731720 has 320 divisors, whose sum is σ = 9862942320. Its totient is φ = 595869696.

The previous prime is 2572731683. The next prime is 2572731739. The reversal of 2572731720 is 271372752.

2572731720 is a `hidden beast` number, since 2 + 572 + 73 + 17 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 757460484 + 1815271236 = 27522^2 + 42606^2 .

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 714244 + ... + 717836.

Almost surely, 2^2572731720 is an apocalyptic number.

2572731720 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 2572731720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931471160).

2572731720 is an abundant number, since it is smaller than the sum of its proper divisors (7290210600).

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

2572731720 is a wasteful number, since it uses less digits than its factorization.

2572731720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 2572731720 is about 50722.1028743880. The cubic root of 2572731720 is about 1370.2448139054.

The spelling of 2572731720 in words is "two billion, five hundred seventy-two million, seven hundred thirty-one thousand, seven hundred twenty".