72600228456 has 256 divisors, whose sum is σ = 221037465600. Its totient is φ = 19424925696.

The previous prime is 72600228431. The next prime is 72600228517. The reversal of 72600228456 is 65482200627.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36795886 + ... + 36797858.

It is an arithmetic number, because the mean of its divisors is an integer number (863427600).

Almost surely, 2^72600228456 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 72600228456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110518732800).

72600228456 is an abundant number, since it is smaller than the sum of its proper divisors (148437237144).

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

72600228456 is a wasteful number, since it uses less digits than its factorization.

72600228456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 72600228456 in words is "seventy-two billion, six hundred million, two hundred twenty-eight thousand, four hundred fifty-six".