72216032 has 48 divisors (see below), whose sum is σ = 168104160. Its totient is φ = 29879808.

The previous prime is 72216031. The next prime is 72216041. The reversal of 72216032 is 23061227.

It is a junction number, because it is equal to n+sod(n) for n = 72215989 and 72216007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72216031) 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, 938 + ... + 12054.

It is an arithmetic number, because the mean of its divisors is an integer number (3502170).

Almost surely, 2^72216032 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 72216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84052080).

72216032 is an abundant number, since it is smaller than the sum of its proper divisors (95888128).

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

72216032 is a wasteful number, since it uses less digits than its factorization.

72216032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11163 (or 11155 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 72216032 is about 8498.0016474463. The cubic root of 72216032 is about 416.4324275594.

Adding to 72216032 its reverse (23061227), we get a palindrome (95277259).

The spelling of 72216032 in words is "seventy-two million, two hundred sixteen thousand, thirty-two".