72362484117 has 192 divisors, whose sum is σ = 140787279360. Its totient is φ = 34720358400.

The previous prime is 72362484113. The next prime is 72362484151. The reversal of 72362484117 is 71148426327.

72362484117 is a `hidden beast` number, since 7 + 2 + 3 + 624 + 8 + 4 + 1 + 17 = 666.

It is not a de Polignac number, because 72362484117 - 2² = 72362484113 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72362484113) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 43669953 + ... + 43671609.

It is an arithmetic number, because the mean of its divisors is an integer number (733267080).

Almost surely, 2^72362484117 is an apocalyptic number.

72362484117 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

72362484117 is a deficient number, since it is larger than the sum of its proper divisors (68424795243).

72362484117 is a wasteful number, since it uses less digits than its factorization.

72362484117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1801 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 72362484117 in words is "seventy-two billion, three hundred sixty-two million, four hundred eighty-four thousand, one hundred seventeen".