72204355440 has 480 divisors, whose sum is σ = 293699952000. Its totient is φ = 15544811520.

The previous prime is 72204355439. The next prime is 72204355513. The reversal of 72204355440 is 4455340227.

72204355440 is a `hidden beast` number, since 7 + 2 + 20 + 43 + 554 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72204355395 and 72204355404.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5986536 + ... + 5998584.

It is an arithmetic number, because the mean of its divisors is an integer number (611874900).

Almost surely, 2^72204355440 is an apocalyptic number.

72204355440 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 72204355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146849976000).

72204355440 is an abundant number, since it is smaller than the sum of its proper divisors (221495596560).

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

72204355440 is a wasteful number, since it uses less digits than its factorization.

72204355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12145 (or 12136 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

Adding to 72204355440 its reverse (4455340227), we get a palindrome (76659695667).

The spelling of 72204355440 in words is "seventy-two billion, two hundred four million, three hundred fifty-five thousand, four hundred forty".