72982703808 has 672 divisors, whose sum is σ = 270533652480. Its totient is φ = 18815016960.

The previous prime is 72982703789. The next prime is 72982703809. The reversal of 72982703808 is 80830728927.

72982703808 is a `hidden beast` number, since 7 + 298 + 270 + 3 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72982703809) by changing a digit.

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, 682081291 + ... + 682081397.

It is an arithmetic number, because the mean of its divisors is an integer number (402579840).

Almost surely, 2^72982703808 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 72982703808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135266826240).

72982703808 is an abundant number, since it is smaller than the sum of its proper divisors (197550948672).

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

72982703808 is a wasteful number, since it uses less digits than its factorization.

72982703808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 72982703808 in words is "seventy-two billion, nine hundred eighty-two million, seven hundred three thousand, eight hundred eight".