72211200 has 108 divisors (see below), whose sum is σ = 238375368. Its totient is φ = 19251200.

The previous prime is 72211199. The next prime is 72211201. The reversal of 72211200 is 211227.

It is an interprime number because it is at equal distance from previous prime (72211199) and next prime (72211201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 72211200.

It is not an unprimeable number, because it can be changed into a prime (72211201) by changing a digit.

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, 17320 + ... + 21080.

Almost surely, 2^72211200 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 72211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119187684).

72211200 is an abundant number, since it is smaller than the sum of its proper divisors (166164168).

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

72211200 is a wasteful number, since it uses less digits than its factorization.

72211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3790 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 72211200 is about 8497.7173405568. The cubic root of 72211200 is about 416.4231394723.

Adding to 72211200 its reverse (211227), we get a palindrome (72422427).

The spelling of 72211200 in words is "seventy-two million, two hundred eleven thousand, two hundred".