72785002320 has 60 divisors (see below), whose sum is σ = 244436301876. Its totient is φ = 19409333760.

The previous prime is 72785002309. The next prime is 72785002321. The reversal of 72785002320 is 2320058727.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20505094416 + 52279907904 = 143196^2 + 228648^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72785002321) 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 11 ways as a sum of consecutive naturals, for example, 50544421 + ... + 50545860.

Almost surely, 2^72785002320 is an apocalyptic number.

It is an amenable number.

72785002320 is an abundant number, since it is smaller than the sum of its proper divisors (171651299556).

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

72785002320 is a wasteful number, since it uses less digits than its factorization.

72785002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101090300 (or 101090291 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 72785002320 in words is "seventy-two billion, seven hundred eighty-five million, two thousand, three hundred twenty".