72060719040 has 448 divisors, whose sum is σ = 259511109120. Its totient is φ = 18819440640.

The previous prime is 72060718979. The next prime is 72060719057. The reversal of 72060719040 is 4091706027.

It is a happy number.

72060719040 is a `hidden beast` number, since 7 + 2 + 0 + 607 + 1 + 9 + 0 + 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 = 72060718986 and 72060719004.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 162665059 + ... + 162665501.

Almost surely, 2^72060719040 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 72060719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129755554560).

72060719040 is an abundant number, since it is smaller than the sum of its proper divisors (187450390080).

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

72060719040 is a wasteful number, since it uses less digits than its factorization.

72060719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 72060719040 in words is "seventy-two billion, sixty million, seven hundred nineteen thousand, forty".