72467326617160 has 32 divisors (see below), whose sum is σ = 163053910152000. Its totient is φ = 28986499488960.

The previous prime is 72467326617139. The next prime is 72467326617167. The reversal of 72467326617160 is 6171662376427.

It is a happy number.

72467326617160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 72467326617095 and 72467326617104.

It is not an unprimeable number, because it can be changed into a prime (72467326617167) 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 7 ways as a sum of consecutive naturals, for example, 10744026 + ... + 16135945.

It is an arithmetic number, because the mean of its divisors is an integer number (5095434692250).

Almost surely, 2^{72467326617160} is an apocalyptic number.

It is an amenable number.

72467326617160 is an abundant number, since it is smaller than the sum of its proper divisors (90586583534840).

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

72467326617160 is a wasteful number, since it uses less digits than its factorization.

72467326617160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26947381 (or 26947377 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 58.

The spelling of 72467326617160 in words is "seventy-two trillion, four hundred sixty-seven billion, three hundred twenty-six million, six hundred seventeen thousand, one hundred sixty".