72210072 has 64 divisors (see below), whose sum is σ = 201548160. Its totient is φ = 21369600.

The previous prime is 72210071. The next prime is 72210077. The reversal of 72210072 is 27001227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72210071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8172 + ... + 14532.

It is an arithmetic number, because the mean of its divisors is an integer number (3149190).

Almost surely, 2^72210072 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 72210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774080).

72210072 is an abundant number, since it is smaller than the sum of its proper divisors (129338088).

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

72210072 is a wasteful number, since it uses less digits than its factorization.

72210072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 72210072 is about 8497.6509695327. The cubic root of 72210072 is about 416.4209711672.

Adding to 72210072 its reverse (27001227), we get a palindrome (99211299).

The spelling of 72210072 in words is "seventy-two million, two hundred ten thousand, seventy-two".