72323216 has 60 divisors (see below), whose sum is σ = 168677820. Its totient is φ = 29917440.

The previous prime is 72323213. The next prime is 72323249. The reversal of 72323216 is 61232327.

It can be written as a sum of positive squares in 2 ways, for example, as 19324816 + 52998400 = 4396^2 + 7280^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72323213) 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, 21146 + ... + 24326.

It is an arithmetic number, because the mean of its divisors is an integer number (2811297).

Almost surely, 2^72323216 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 72323216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84338910).

72323216 is an abundant number, since it is smaller than the sum of its proper divisors (96354604).

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

72323216 is a wasteful number, since it uses less digits than its factorization.

72323216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3219 counting only the distinct ones).

The product of its digits is 3024, while the sum is 26.

The square root of 72323216 is about 8504.3057329802. The cubic root of 72323216 is about 416.6383505735.

It can be divided in two parts, 7232321 and 6, that added together give a palindrome (7232327).

The spelling of 72323216 in words is "seventy-two million, three hundred twenty-three thousand, two hundred sixteen".