10072072200 has 96 divisors (see below), whose sum is σ = 31433256000. Its totient is φ = 2667836160.

The previous prime is 10072072183. The next prime is 10072072201. The reversal of 10072072200 is 227027001.

It is a super-3 number, since 3×10072072200³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10072072201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33069 + ... + 145731.

It is an arithmetic number, because the mean of its divisors is an integer number (327429750).

Almost surely, 2^10072072200 is an apocalyptic number.

10072072200 is a gapful number since it is divisible by the number (10) 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 10072072200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15716628000).

10072072200 is an abundant number, since it is smaller than the sum of its proper divisors (21361183800).

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

10072072200 is a wasteful number, since it uses less digits than its factorization.

10072072200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112831 (or 112822 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

Adding to 10072072200 its reverse (227027001), we get a palindrome (10299099201).

The spelling of 10072072200 in words is "ten billion, seventy-two million, seventy-two thousand, two hundred".