72631867009 has 9 divisors (see below), whose sum is σ = 78652502019. Its totient is φ = 67041566280.

The previous prime is 72631867001. The next prime is 72631867013. The reversal of 72631867009 is 90076813627.

It is a happy number.

The square root of 72631867009 is 269503.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10744359025 + 61887507984 = 103655^2 + 248772^2 .

It is not a de Polignac number, because 72631867009 - 2³ = 72631867001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72631867001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3493174 + ... + 3513904.

It is an arithmetic number, because the mean of its divisors is an integer number (8739166891).

Almost surely, 2^72631867009 is an apocalyptic number.

72631867009 is the 269503-rd square number.

72631867009 is the 134752-nd centered octagonal number.

It is an amenable number.

72631867009 is a deficient number, since it is larger than the sum of its proper divisors (6020635010).

72631867009 is an frugal number, since it uses more digits than its factorization.

72631867009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41488 (or 20744 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 72631867009 by its sum of digits (49), we get a square (3558961483441 = 1886521²).

The spelling of 72631867009 in words is "seventy-two billion, six hundred thirty-one million, eight hundred sixty-seven thousand, nine".