72364042240 has 192 divisors, whose sum is σ = 203283924480. Its totient is φ = 24204410880.

The previous prime is 72364042187. The next prime is 72364042243. The reversal of 72364042240 is 4224046327.

It is a junction number, because it is equal to n+sod(n) for n = 72364042196 and 72364042205.

It is not an unprimeable number, because it can be changed into a prime (72364042243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2926569 + ... + 2951191.

It is an arithmetic number, because the mean of its divisors is an integer number (1058770440).

Almost surely, 2^72364042240 is an apocalyptic number.

72364042240 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 72364042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101641962240).

72364042240 is an abundant number, since it is smaller than the sum of its proper divisors (130919882240).

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

72364042240 is a wasteful number, since it uses less digits than its factorization.

72364042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24698 (or 24678 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 34.

Adding to 72364042240 its reverse (4224046327), we get a palindrome (76588088567).

The spelling of 72364042240 in words is "seventy-two billion, three hundred sixty-four million, forty-two thousand, two hundred forty".