72361561097 has 24 divisors (see below), whose sum is σ = 84994113600. Its totient is φ = 61421776416.

The previous prime is 72361561001. The next prime is 72361561133. The reversal of 72361561097 is 79016516327.

It is a happy number.

It is not a de Polignac number, because 72361561097 - 2⁸ = 72361560841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72361561697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19455404 + ... + 19459122.

It is an arithmetic number, because the mean of its divisors is an integer number (3541421400).

Almost surely, 2^72361561097 is an apocalyptic number.

It is an amenable number.

72361561097 is a deficient number, since it is larger than the sum of its proper divisors (12632552503).

72361561097 is a wasteful number, since it uses less digits than its factorization.

72361561097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The spelling of 72361561097 in words is "seventy-two billion, three hundred sixty-one million, five hundred sixty-one thousand, ninety-seven".