2072392200 has 324 divisors, whose sum is σ = 7408129365. Its totient is φ = 519160320.

The previous prime is 2072392199. The next prime is 2072392247. The reversal of 2072392200 is 22932702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2072392200 is a `hidden beast` number, since 2 + 0 + 72 + 392 + 200 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 227346084 + 1845046116 = 15078^2 + 42954^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=32190.

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 80 ways as a sum of consecutive naturals, for example, 56010582 + ... + 56010618.

Almost surely, 2^2072392200 is an apocalyptic number.

2072392200 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 2072392200

2072392200 is an abundant number, since it is smaller than the sum of its proper divisors (5335737165).

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

2072392200 is a wasteful number, since it uses less digits than its factorization.

2072392200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2072392200 is about 45523.5345727899. The cubic root of 2072392200 is about 1274.9426502463.

The spelling of 2072392200 in words is "two billion, seventy-two million, three hundred ninety-two thousand, two hundred".