72113832 has 96 divisors (see below), whose sum is σ = 232951680. Its totient is φ = 19704960.

The previous prime is 72113831. The next prime is 72113861. The reversal of 72113832 is 23831127.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 72113796 and 72113805.

It is not an unprimeable number, because it can be changed into a prime (72113831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8482 + ... + 14702.

It is an arithmetic number, because the mean of its divisors is an integer number (2426580).

Almost surely, 2^72113832 is an apocalyptic number.

72113832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72113832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116475840).

72113832 is an abundant number, since it is smaller than the sum of its proper divisors (160837848).

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

72113832 is a wasteful number, since it uses less digits than its factorization.

72113832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6263 (or 6256 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 72113832 is about 8491.9863400738. The cubic root of 72113832 is about 416.2358900068.

Adding to 72113832 its reverse (23831127), we get a palindrome (95944959).

The spelling of 72113832 in words is "seventy-two million, one hundred thirteen thousand, eight hundred thirty-two".