10721200 has 90 divisors (see below), whose sum is σ = 30017796. Its totient is φ = 3669120.

The previous prime is 10721159. The next prime is 10721219. The reversal of 10721200 is 212701.

10721200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10721200² = 229888258880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19327 + ... + 19873.

Almost surely, 2^10721200 is an apocalyptic number.

10721200 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 10721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15008898).

10721200 is an abundant number, since it is smaller than the sum of its proper divisors (19296596).

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

10721200 is a wasteful number, since it uses less digits than its factorization.

10721200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10721200 is about 3274.3243577874. The cubic root of 10721200 is about 220.5029813992.

Adding to 10721200 its reverse (212701), we get a palindrome (10933901).

The spelling of 10721200 in words is "ten million, seven hundred twenty-one thousand, two hundred".