72117232 has 40 divisors (see below), whose sum is σ = 153976752. Its totient is φ = 32448000.

The previous prime is 72117209. The next prime is 72117239. The reversal of 72117232 is 23271127.

It is a junction number, because it is equal to n+sod(n) for n = 72117197 and 72117206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72117239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15748 + ... + 19804.

Almost surely, 2^72117232 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 72117232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76988376).

72117232 is an abundant number, since it is smaller than the sum of its proper divisors (81859520).

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

72117232 is a wasteful number, since it uses less digits than its factorization.

72117232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4171 counting only the distinct ones).

The product of its digits is 1176, while the sum is 25.

The square root of 72117232 is about 8492.1865264489. The cubic root of 72117232 is about 416.2424314231.

Adding to 72117232 its reverse (23271127), we get a palindrome (95388359).

The spelling of 72117232 in words is "seventy-two million, one hundred seventeen thousand, two hundred thirty-two".