72393216 has 80 divisors (see below), whose sum is σ = 220444224. Its totient is φ = 20680704.

The previous prime is 72393197. The next prime is 72393221. The reversal of 72393216 is 61239327.

It is a happy number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7386 + ... + 14118.

Almost surely, 2^72393216 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 72393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110222112).

72393216 is an abundant number, since it is smaller than the sum of its proper divisors (148051008).

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

72393216 is an equidigital number, since it uses as much as digits as its factorization.

72393216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6745 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 72393216 is about 8508.4202999147. The cubic root of 72393216 is about 416.7727254991.

It can be divided in two parts, 7239321 and 6, that added together give a palindrome (7239327).

The spelling of 72393216 in words is "seventy-two million, three hundred ninety-three thousand, two hundred sixteen".