72987983829 has 6 divisors (see below), whose sum is σ = 105427087766. Its totient is φ = 48658655880.

The previous prime is 72987983801. The next prime is 72987983843. The reversal of 72987983829 is 92838978927.

72987983829 is a `hidden beast` number, since 72 + 98 + 7 + 98 + 382 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62968374225 + 10019609604 = 250935^2 + 100098^2 .

It is not a de Polignac number, because 72987983829 - 2⁷ = 72987983701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72987983329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4054887982 + ... + 4054887999.

Almost surely, 2^72987983829 is an apocalyptic number.

It is an amenable number.

72987983829 is a deficient number, since it is larger than the sum of its proper divisors (32439103937).

72987983829 is a wasteful number, since it uses less digits than its factorization.

72987983829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109775987 (or 8109775984 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 72987983829 in words is "seventy-two billion, nine hundred eighty-seven million, nine hundred eighty-three thousand, eight hundred twenty-nine".