72397241280 has 2016 divisors, whose sum is σ = 344025077760. Its totient is φ = 13795246080.

The previous prime is 72397241237. The next prime is 72397241317. The reversal of 72397241280 is 8214279327.

72397241280 is a `hidden beast` number, since 72 + 3 + 97 + 2 + 412 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 1080555807 + ... + 1080555873.

It is an arithmetic number, because the mean of its divisors is an integer number (170647360).

Almost surely, 2^72397241280 is an apocalyptic number.

72397241280 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 72397241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172012538880).

72397241280 is an abundant number, since it is smaller than the sum of its proper divisors (271627836480).

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

72397241280 is a wasteful number, since it uses less digits than its factorization.

72397241280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 72397241280 in words is "seventy-two billion, three hundred ninety-seven million, two hundred forty-one thousand, two hundred eighty".