72256710240 has 576 divisors, whose sum is σ = 306738798912. Its totient is φ = 15217459200.

The previous prime is 72256710203. The next prime is 72256710241. The reversal of 72256710240 is 4201765227.

It is a happy number.

72256710240 is a `hidden beast` number, since 72 + 2 + 567 + 1 + 0 + 24 + 0 = 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 = 72256710195 and 72256710204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72256710241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3490320 + ... + 3510960.

It is an arithmetic number, because the mean of its divisors is an integer number (532532637).

Almost surely, 2^72256710240 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 72256710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153369399456).

72256710240 is an abundant number, since it is smaller than the sum of its proper divisors (234482088672).

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

72256710240 is a wasteful number, since it uses less digits than its factorization.

72256710240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20703 (or 20692 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 72256710240 in words is "seventy-two billion, two hundred fifty-six million, seven hundred ten thousand, two hundred forty".