72225360 has 60 divisors (see below), whose sum is σ = 242559252. Its totient is φ = 19259904.

The previous prime is 72225343. The next prime is 72225407. The reversal of 72225360 is 6352227.

It can be written as a sum of positive squares in 2 ways, for example, as 12873744 + 59351616 = 3588^2 + 7704^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49437 + ... + 50876.

Almost surely, 2^72225360 is an apocalyptic number.

It is an amenable number.

72225360 is an abundant number, since it is smaller than the sum of its proper divisors (170333892).

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

72225360 is a wasteful number, since it uses less digits than its factorization.

72225360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100332 (or 100323 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72225360 is about 8498.5504646381. The cubic root of 72225360 is about 416.4503567012.

Adding to 72225360 its reverse (6352227), we get a palindrome (78577587).

The spelling of 72225360 in words is "seventy-two million, two hundred twenty-five thousand, three hundred sixty".