72327216 has 80 divisors (see below), whose sum is σ = 207764480. Its totient is φ = 21530880.

The previous prime is 72327209. The next prime is 72327221. The reversal of 72327216 is 61272327.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17475 + ... + 21213.

It is an arithmetic number, because the mean of its divisors is an integer number (2597056).

Almost surely, 2^72327216 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 72327216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103882240).

72327216 is an abundant number, since it is smaller than the sum of its proper divisors (135437264).

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

72327216 is a wasteful number, since it uses less digits than its factorization.

72327216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3788 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 72327216 is about 8504.5409047167. The cubic root of 72327216 is about 416.6460314758.

The spelling of 72327216 in words is "seventy-two million, three hundred twenty-seven thousand, two hundred sixteen".