10722067200 has 1080 divisors, whose sum is σ = 44867541488. Its totient is φ = 2508226560.

The previous prime is 10722067177. The next prime is 10722067207. The reversal of 10722067200 is 276022701.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×10722067200³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10722067207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 249350379 + ... + 249350421.

Almost surely, 2^10722067200 is an apocalyptic number.

10722067200 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 10722067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433770744).

10722067200 is an abundant number, since it is smaller than the sum of its proper divisors (34145474288).

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

10722067200 is a wasteful number, since it uses less digits than its factorization.

10722067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 10722067200 its reverse (276022701), we get a palindrome (10998089901).

The spelling of 10722067200 in words is "ten billion, seven hundred twenty-two million, sixty-seven thousand, two hundred".