72232160 has 288 divisors, whose sum is σ = 236488896. Its totient is φ = 20275200.

The previous prime is 72232159. The next prime is 72232187. The reversal of 72232160 is 6123227.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1761740 + ... + 1761780.

It is an arithmetic number, because the mean of its divisors is an integer number (821142).

Almost surely, 2^72232160 is an apocalyptic number.

72232160 is a gapful number since it is divisible by the number (70) 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 72232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118244448).

72232160 is an abundant number, since it is smaller than the sum of its proper divisors (164256736).

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

72232160 is a wasteful number, since it uses less digits than its factorization.

72232160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 79 counting only the distinct ones).

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

The square root of 72232160 is about 8498.9505234470. The cubic root of 72232160 is about 416.4634258575.

Adding to 72232160 its reverse (6123227), we get a palindrome (78355387).

It can be divided in two parts, 72 and 232160, that added together give a palindrome (232232).

The spelling of 72232160 in words is "seventy-two million, two hundred thirty-two thousand, one hundred sixty".