72225760 has 24 divisors (see below), whose sum is σ = 170633736. Its totient is φ = 28890240.

The previous prime is 72225743. The next prime is 72225761. The reversal of 72225760 is 6752227.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72225761) 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 3 ways as a sum of consecutive naturals, for example, 225546 + ... + 225865.

It is an arithmetic number, because the mean of its divisors is an integer number (7109739).

Almost surely, 2^72225760 is an apocalyptic number.

It is an amenable number.

72225760 is an abundant number, since it is smaller than the sum of its proper divisors (98407976).

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

72225760 is a wasteful number, since it uses less digits than its factorization.

72225760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451426 (or 451418 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 72225760 is about 8498.5739980305. The cubic root of 72225760 is about 416.4511254978.

Adding to 72225760 its reverse (6752227), we get a palindrome (78977987).

The spelling of 72225760 in words is "seventy-two million, two hundred twenty-five thousand, seven hundred sixty".