72213280 has 96 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 26849280.

The previous prime is 72213269. The next prime is 72213289. The reversal of 72213280 is 8231227.

It is not an unprimeable number, because it can be changed into a prime (72213289) 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 15 ways as a sum of consecutive naturals, for example, 377985 + ... + 378175.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^72213280 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 72213280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

72213280 is an abundant number, since it is smaller than the sum of its proper divisors (110678240).

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

72213280 is a wasteful number, since it uses less digits than its factorization.

72213280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 72213280 is about 8497.8397254832. The cubic root of 72213280 is about 416.4271377063.

It can be divided in two parts, 7221 and 3280, that added together give a palindrome (10501).

The spelling of 72213280 in words is "seventy-two million, two hundred thirteen thousand, two hundred eighty".