72323272 has 64 divisors (see below), whose sum is σ = 164995200. Its totient is φ = 29030400.

The previous prime is 72323257. The next prime is 72323281. The reversal of 72323272 is 27232327.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 72323272.

It is an unprimeable number.

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, 107128 + ... + 107800.

It is an arithmetic number, because the mean of its divisors is an integer number (2578050).

Almost surely, 2^72323272 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 72323272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82497600).

72323272 is an abundant number, since it is smaller than the sum of its proper divisors (92671928).

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

72323272 is a wasteful number, since it uses less digits than its factorization.

72323272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 802 counting only the distinct ones).

The product of its digits is 7056, while the sum is 28.

The square root of 72323272 is about 8504.3090254294. The cubic root of 72323272 is about 416.6384581081.

Adding to 72323272 its reverse (27232327), we get a palindrome (99555599).

The spelling of 72323272 in words is "seventy-two million, three hundred twenty-three thousand, two hundred seventy-two".