72213360 has 40 divisors (see below), whose sum is σ = 223862160. Its totient is φ = 19256832.

The previous prime is 72213359. The next prime is 72213367. The reversal of 72213360 is 6331227.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 72213360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72213367) 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 7 ways as a sum of consecutive naturals, for example, 150205 + ... + 150684.

It is an arithmetic number, because the mean of its divisors is an integer number (5596554).

Almost surely, 2^72213360 is an apocalyptic number.

It is an amenable number.

72213360 is an abundant number, since it is smaller than the sum of its proper divisors (151648800).

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

72213360 is a wasteful number, since it uses less digits than its factorization.

72213360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300905 (or 300899 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 72213360 is about 8497.8444325605. The cubic root of 72213360 is about 416.4272914830.

Adding to 72213360 its reverse (6331227), we get a palindrome (78544587).

The spelling of 72213360 in words is "seventy-two million, two hundred thirteen thousand, three hundred sixty".