72132840 has 96 divisors (see below), whose sum is σ = 252481320. Its totient is φ = 17754624.

The previous prime is 72132787. The next prime is 72132847. The reversal of 72132840 is 4823127.

It can be written as a sum of positive squares in 4 ways, for example, as 58339044 + 13793796 = 7638^2 + 3714^2 .

It is not an unprimeable number, because it can be changed into a prime (72132847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3027 + ... + 12386.

Almost surely, 2^72132840 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 72132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126240660).

72132840 is an abundant number, since it is smaller than the sum of its proper divisors (180348480).

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

72132840 is a wasteful number, since it uses less digits than its factorization.

72132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15443 (or 15436 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72132840 is about 8493.1054391194. The cubic root of 72132840 is about 416.2724577338.

Adding to 72132840 its reverse (4823127), we get a palindrome (76955967).

The spelling of 72132840 in words is "seventy-two million, one hundred thirty-two thousand, eight hundred forty".