72115616 has 48 divisors (see below), whose sum is σ = 146435688. Its totient is φ = 34944000.

The previous prime is 72115609. The next prime is 72115619. The reversal of 72115616 is 61651127.

It can be written as a sum of positive squares in 4 ways, for example, as 63936016 + 8179600 = 7996^2 + 2860^2 .

It is not an unprimeable number, because it can be changed into a prime (72115619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171086 + ... + 171506.

Almost surely, 2^72115616 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 72115616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73217844).

72115616 is an abundant number, since it is smaller than the sum of its proper divisors (74320072).

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

72115616 is a wasteful number, since it uses less digits than its factorization.

72115616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its digits is 2520, while the sum is 29.

The square root of 72115616 is about 8492.0913796308. The cubic root of 72115616 is about 416.2393223520.

The spelling of 72115616 in words is "seventy-two million, one hundred fifteen thousand, six hundred sixteen".