722115200 has 96 divisors (see below), whose sum is σ = 1800537660. Its totient is φ = 286146560.

The previous prime is 722115193. The next prime is 722115257. The reversal of 722115200 is 2511227.

It can be written as a sum of positive squares in 6 ways, for example, as 10816 + 722104384 = 104^2 + 26872^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360602 + ... + 362598.

Almost surely, 2^722115200 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 722115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900268830).

722115200 is an abundant number, since it is smaller than the sum of its proper divisors (1078422460).

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

722115200 is a wasteful number, since it uses less digits than its factorization.

722115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 722115200 is about 26872.2012496185. The cubic root of 722115200 is about 897.1577826425.

Adding to 722115200 its reverse (2511227), we get a palindrome (724626427).

It can be divided in two parts, 722 and 115200, that multiplied together give a square (83174400 = 9120²).

The spelling of 722115200 in words is "seven hundred twenty-two million, one hundred fifteen thousand, two hundred".