72249327360 has 432 divisors, whose sum is σ = 289732584960. Its totient is φ = 16280248320.

The previous prime is 72249327343. The next prime is 72249327379. The reversal of 72249327360 is 6372394227.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5719131 + ... + 5731749.

It is an arithmetic number, because the mean of its divisors is an integer number (670677280).

Almost surely, 2^72249327360 is an apocalyptic number.

72249327360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72249327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144866292480).

72249327360 is an abundant number, since it is smaller than the sum of its proper divisors (217483257600).

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

72249327360 is a wasteful number, since it uses less digits than its factorization.

72249327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12724 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 72249327360 in words is "seventy-two billion, two hundred forty-nine million, three hundred twenty-seven thousand, three hundred sixty".