72162213446735 has 16 divisors (see below), whose sum is σ = 88940937254592. Its totient is φ = 56165789836800.

The previous prime is 72162213446711. The next prime is 72162213446737. The reversal of 72162213446735 is 53764431226127.

It is not a de Polignac number, because 72162213446735 - 2²⁶ = 72162146337871 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72162213446737) 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 15 ways as a sum of consecutive naturals, for example, 10100771 + ... + 15695540.

It is an arithmetic number, because the mean of its divisors is an integer number (5558808578412).

Almost surely, 2^{72162213446735} is an apocalyptic number.

72162213446735 is a deficient number, since it is larger than the sum of its proper divisors (16778723807857).

72162213446735 is a wasteful number, since it uses less digits than its factorization.

72162213446735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25811474.

The product of its digits is 10160640, while the sum is 53.

The spelling of 72162213446735 in words is "seventy-two trillion, one hundred sixty-two billion, two hundred thirteen million, four hundred forty-six thousand, seven hundred thirty-five".