72151579305 has 64 divisors (see below), whose sum is σ = 138204864000. Its totient is φ = 35503163136.

The previous prime is 72151579303. The next prime is 72151579319. The reversal of 72151579305 is 50397515127.

72151579305 is a `hidden beast` number, since 7 + 21 + 51 + 579 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 72151579305 - 2¹ = 72151579303 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (72151579303) 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 63 ways as a sum of consecutive naturals, for example, 3973036 + ... + 3991154.

It is an arithmetic number, because the mean of its divisors is an integer number (2159451000).

Almost surely, 2^72151579305 is an apocalyptic number.

It is an amenable number.

72151579305 is a deficient number, since it is larger than the sum of its proper divisors (66053284695).

72151579305 is a wasteful number, since it uses less digits than its factorization.

72151579305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20415 (or 20409 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The spelling of 72151579305 in words is "seventy-two billion, one hundred fifty-one million, five hundred seventy-nine thousand, three hundred five".