72073700361 has 48 divisors (see below), whose sum is σ = 118791153936. Its totient is φ = 41715376128.

The previous prime is 72073700351. The next prime is 72073700417. The reversal of 72073700361 is 16300737027.

It can be written as a sum of positive squares in 8 ways, for example, as 21212174736 + 50861525625 = 145644^2 + 225525^2 .

It is not a de Polignac number, because 72073700361 - 2⁷ = 72073700233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72073700351) 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 47 ways as a sum of consecutive naturals, for example, 3077251 + ... + 3100583.

It is an arithmetic number, because the mean of its divisors is an integer number (2474815707).

Almost surely, 2^72073700361 is an apocalyptic number.

It is an amenable number.

72073700361 is a deficient number, since it is larger than the sum of its proper divisors (46717453575).

72073700361 is a wasteful number, since it uses less digits than its factorization.

72073700361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24922 (or 24919 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 72073700361 in words is "seventy-two billion, seventy-three million, seven hundred thousand, three hundred sixty-one".