72185715091 has 24 divisors (see below), whose sum is σ = 85073968320. Its totient is φ = 61061599872.

The previous prime is 72185715079. The next prime is 72185715131. The reversal of 72185715091 is 19051758127.

It is not a de Polignac number, because 72185715091 - 2¹³ = 72185706899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72185715001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14215645 + ... + 14220721.

It is an arithmetic number, because the mean of its divisors is an integer number (3544748680).

Almost surely, 2^72185715091 is an apocalyptic number.

72185715091 is a deficient number, since it is larger than the sum of its proper divisors (12888253229).

72185715091 is a wasteful number, since it uses less digits than its factorization.

72185715091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8843 (or 8836 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 46.

The spelling of 72185715091 in words is "seventy-two billion, one hundred eighty-five million, seven hundred fifteen thousand, ninety-one".