72260812800 has 1008 divisors, whose sum is σ = 295329479865. Its totient is φ = 17517772800.

The previous prime is 72260812753. The next prime is 72260812831. The reversal of 72260812800 is 821806227.

It is a happy number.

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.

72260812800 is a `hidden beast` number, since 7 + 22 + 608 + 1 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70815596544 + 1445216256 = 266112^2 + 38016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190080.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 6569164795 + ... + 6569164805.

Almost surely, 2^72260812800 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 72260812800

72260812800 is an abundant number, since it is smaller than the sum of its proper divisors (223068667065).

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

72260812800 is an frugal number, since it uses more digits than its factorization.

72260812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 72260812800 in words is "seventy-two billion, two hundred sixty million, eight hundred twelve thousand, eight hundred".