72212200 has 48 divisors (see below), whose sum is σ = 169274880. Its totient is φ = 28647360.

The previous prime is 72212191. The next prime is 72212207. The reversal of 72212200 is 221227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72212207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23979 + ... + 26821.

It is an arithmetic number, because the mean of its divisors is an integer number (3526560).

Almost surely, 2^72212200 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 72212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84637440).

72212200 is an abundant number, since it is smaller than the sum of its proper divisors (97062680).

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

72212200 is a wasteful number, since it uses less digits than its factorization.

72212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 72212200 is about 8497.7761796837. The cubic root of 72212200 is about 416.4250617098.

Adding to 72212200 its reverse (221227), we get a palindrome (72433427).

The spelling of 72212200 in words is "seventy-two million, two hundred twelve thousand, two hundred".