72303276187248 has 80 divisors (see below), whose sum is σ = 189420465361920. Its totient is φ = 23762877357312.

The previous prime is 72303276187223. The next prime is 72303276187253. The reversal of 72303276187248 is 84278167230327.

It is a super-3 number, since 3×72303276187248³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72303276187191 and 72303276187200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30798936 + ... + 33063287.

It is an arithmetic number, because the mean of its divisors is an integer number (2367755817024).

Almost surely, 2^{72303276187248} is an apocalyptic number.

It is an amenable number.

72303276187248 is an abundant number, since it is smaller than the sum of its proper divisors (117117189174672).

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

72303276187248 is a wasteful number, since it uses less digits than its factorization.

72303276187248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63862566 (or 63862560 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 60.

The spelling of 72303276187248 in words is "seventy-two trillion, three hundred three billion, two hundred seventy-six million, one hundred eighty-seven thousand, two hundred forty-eight".