72361330944 has 108 divisors (see below), whose sum is σ = 224029504944. Its totient is φ = 20674655232.

The previous prime is 72361330933. The next prime is 72361330963. The reversal of 72361330944 is 44903316327.

It is a happy number.

It is a super-2 number, since 2×72361330944² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 72361330896 and 72361330905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 923802 + ... + 999065.

It is an arithmetic number, because the mean of its divisors is an integer number (2074347268).

Almost surely, 2^72361330944 is an apocalyptic number.

It is an amenable number.

72361330944 is an abundant number, since it is smaller than the sum of its proper divisors (151668174000).

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

72361330944 is a wasteful number, since it uses less digits than its factorization.

72361330944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922900 (or 1922879 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 72361330944 in words is "seventy-two billion, three hundred sixty-one million, three hundred thirty thousand, nine hundred forty-four".