2072197728 has 480 divisors, whose sum is σ = 7007793408. Its totient is φ = 597196800.

The previous prime is 2072197727. The next prime is 2072197739. The reversal of 2072197728 is 8277912702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072197723) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50541388 + ... + 50541428.

Almost surely, 2^2072197728 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 2072197728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503896704).

2072197728 is an abundant number, since it is smaller than the sum of its proper divisors (4935595680).

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

2072197728 is a wasteful number, since it uses less digits than its factorization.

2072197728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 2072197728 is about 45521.3985725395. The cubic root of 2072197728 is about 1274.9027690560.

The spelling of 2072197728 in words is "two billion, seventy-two million, one hundred ninety-seven thousand, seven hundred twenty-eight".