72126318249 has 12 divisors (see below), whose sum is σ = 104189432256. Its totient is φ = 48080994072.

The previous prime is 72126318233. The next prime is 72126318293. The reversal of 72126318249 is 94281362127.

72126318249 is a `hidden beast` number, since 7 + 2 + 1 + 2 + 631 + 8 + 2 + 4 + 9 = 666.

It is not a de Polignac number, because 72126318249 - 2⁴ = 72126318233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72126328249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122037 + ... + 398930.

It is an arithmetic number, because the mean of its divisors is an integer number (8682452688).

Almost surely, 2^72126318249 is an apocalyptic number.

It is an amenable number.

72126318249 is a deficient number, since it is larger than the sum of its proper divisors (32063114007).

72126318249 is a wasteful number, since it uses less digits than its factorization.

72126318249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536356 (or 536353 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 72126318249 in words is "seventy-two billion, one hundred twenty-six million, three hundred eighteen thousand, two hundred forty-nine".