72248565600 has 756 divisors, whose sum is σ = 274777983396. Its totient is φ = 18537361920.

The previous prime is 72248565569. The next prime is 72248565607. The reversal of 72248565600 is 656584227.

72248565600 is a `hidden beast` number, since 7 + 2 + 2 + 4 + 85 + 6 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72248565607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1078336767 + ... + 1078336833.

It is an arithmetic number, because the mean of its divisors is an integer number (363462941).

Almost surely, 2^72248565600 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 72248565600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137388991698).

72248565600 is an abundant number, since it is smaller than the sum of its proper divisors (202529417796).

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

72248565600 is an equidigital number, since it uses as much as digits as its factorization.

72248565600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 72248565600 in words is "seventy-two billion, two hundred forty-eight million, five hundred sixty-five thousand, six hundred".