72115232 has 48 divisors (see below), whose sum is σ = 163981440. Its totient is φ = 30578688.

The previous prime is 72115193. The next prime is 72115259. The reversal of 72115232 is 23251127.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72115198 and 72115207.

It is a congruent number.

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, 20069 + ... + 23387.

It is an arithmetic number, because the mean of its divisors is an integer number (3416280).

Almost surely, 2^72115232 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 72115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81990720).

72115232 is an abundant number, since it is smaller than the sum of its proper divisors (91866208).

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

72115232 is a wasteful number, since it uses less digits than its factorization.

72115232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3425 counting only the distinct ones).

The product of its digits is 840, while the sum is 23.

The square root of 72115232 is about 8492.0687703292. The cubic root of 72115232 is about 416.2385835560.

Adding to 72115232 its reverse (23251127), we get a palindrome (95366359).

The spelling of 72115232 in words is "seventy-two million, one hundred fifteen thousand, two hundred thirty-two".