72142929365 has 32 divisors (see below), whose sum is σ = 93607799040. Its totient is φ = 53059792896.

The previous prime is 72142929289. The next prime is 72142929373. The reversal of 72142929365 is 56392924127.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72142929365 - 2¹⁶ = 72142863829 is a prime.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26203829 + ... + 26206581.

It is an arithmetic number, because the mean of its divisors is an integer number (2925243720).

Almost surely, 2^72142929365 is an apocalyptic number.

It is an amenable number.

72142929365 is a deficient number, since it is larger than the sum of its proper divisors (21464869675).

72142929365 is a wasteful number, since it uses less digits than its factorization.

72142929365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253.

The product of its digits is 1632960, while the sum is 50.

The spelling of 72142929365 in words is "seventy-two billion, one hundred forty-two million, nine hundred twenty-nine thousand, three hundred sixty-five".