72362614009 has 27 divisors (see below), whose sum is σ = 85387739013. Its totient is φ = 61145457912.

The previous prime is 72362614003. The next prime is 72362614043. The reversal of 72362614009 is 90041626327.

It is a happy number.

The square root of 72362614009 is 269003.

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

It is not a de Polignac number, because 72362614009 - 2⁵ = 72362613977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72362614003) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156290512 + ... + 156290974.

Almost surely, 2^72362614009 is an apocalyptic number.

72362614009 is the 269003-rd square number.

72362614009 is the 134502-nd centered octagonal number.

It is an amenable number.

72362614009 is a deficient number, since it is larger than the sum of its proper divisors (13025125004).

72362614009 is an frugal number, since it uses more digits than its factorization.

72362614009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 72362614009 in words is "seventy-two billion, three hundred sixty-two million, six hundred fourteen thousand, nine".