72014283540 has 288 divisors, whose sum is σ = 230126472576. Its totient is φ = 18207866880.

The previous prime is 72014283533. The next prime is 72014283547. The reversal of 72014283540 is 4538241027.

It is a happy number.

72014283540 is a `hidden beast` number, since 7 + 20 + 14 + 2 + 83 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (72014283533) and next prime (72014283547).

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 = 72014283495 and 72014283504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72014283547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81555939 + ... + 81556821.

It is an arithmetic number, because the mean of its divisors is an integer number (799050252).

Almost surely, 2^72014283540 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 72014283540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115063236288).

72014283540 is an abundant number, since it is smaller than the sum of its proper divisors (158112189036).

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

72014283540 is a wasteful number, since it uses less digits than its factorization.

72014283540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 72014283540 in words is "seventy-two billion, fourteen million, two hundred eighty-three thousand, five hundred forty".