72963200 has 72 divisors (see below), whose sum is σ = 181443465. Its totient is φ = 28992000.

The previous prime is 72963197. The next prime is 72963229. The reversal of 72963200 is 236927.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 71503936 + 1459264 = 8456^2 + 1208^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6040.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 483125 + ... + 483275.

Almost surely, 2^72963200 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 72963200

72963200 is an abundant number, since it is smaller than the sum of its proper divisors (108480265).

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

72963200 is an equidigital number, since it uses as much as digits as its factorization.

72963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 72963200 is about 8541.8499167335. The cubic root of 72963200 is about 417.8636796684.

The spelling of 72963200 in words is "seventy-two million, nine hundred sixty-three thousand, two hundred".