72245816689740 has 192 divisors, whose sum is σ = 207214951845888. Its totient is φ = 18801925632000.

The previous prime is 72245816689723. The next prime is 72245816689741. The reversal of 72245816689740 is 4798661854227.

It is not an unprimeable number, because it can be changed into a prime (72245816689741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2223137172 + ... + 2223169668.

It is an arithmetic number, because the mean of its divisors is an integer number (1079244540864).

Almost surely, 2^{72245816689740} 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 72245816689740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103607475922944).

72245816689740 is an abundant number, since it is smaller than the sum of its proper divisors (134969135156148).

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

72245816689740 is a wasteful number, since it uses less digits than its factorization.

72245816689740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37848 (or 37846 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 69.

The spelling of 72245816689740 in words is "seventy-two trillion, two hundred forty-five billion, eight hundred sixteen million, six hundred eighty-nine thousand, seven hundred forty".