72802480365 has 96 divisors (see below), whose sum is σ = 136347191136. Its totient is φ = 35798630400.

The previous prime is 72802480357. The next prime is 72802480381. The reversal of 72802480365 is 56308420827.

72802480365 is a `hidden beast` number, since 7 + 280 + 2 + 4 + 8 + 0 + 365 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3115984041 + 69686496324 = 55821^2 + 263982^2 .

It is not a de Polignac number, because 72802480365 - 2³ = 72802480357 is a prime.

It is a super-2 number, since 2×72802480365² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72802480365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40422465 + ... + 40424265.

It is an arithmetic number, because the mean of its divisors is an integer number (1420283241).

Almost surely, 2^72802480365 is an apocalyptic number.

It is an amenable number.

72802480365 is a deficient number, since it is larger than the sum of its proper divisors (63544710771).

72802480365 is a wasteful number, since it uses less digits than its factorization.

72802480365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 72802480365 in words is "seventy-two billion, eight hundred two million, four hundred eighty thousand, three hundred sixty-five".