72912003840 has 432 divisors, whose sum is σ = 273202675200. Its totient is φ = 17846599680.

The previous prime is 72912003839. The next prime is 72912003847. The reversal of 72912003840 is 4830021927.

72912003840 is a `hidden beast` number, since 72 + 9 + 1 + 200 + 384 + 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 = 72912003795 and 72912003804.

It is not an unprimeable number, because it can be changed into a prime (72912003847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28602886 + ... + 28605434.

It is an arithmetic number, because the mean of its divisors is an integer number (632413600).

Almost surely, 2^72912003840 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 72912003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136601337600).

72912003840 is an abundant number, since it is smaller than the sum of its proper divisors (200290671360).

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

72912003840 is a wasteful number, since it uses less digits than its factorization.

72912003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 72912003840 in words is "seventy-two billion, nine hundred twelve million, three thousand, eight hundred forty".