72067440901 has 32 divisors (see below), whose sum is σ = 78683885280. Its totient is φ = 65840947200.

The previous prime is 72067440889. The next prime is 72067440911. The reversal of 72067440901 is 10904476027.

72067440901 = 189825² + 189826².

It can be written as a sum of positive squares in 16 ways, for example, as 6536560801 + 65530880100 = 80849^2 + 255990^2 .

It is a 8-Lehmer number, since φ(72067440901) divides (72067440901-1)⁸.

It is a cyclic number.

It is not a de Polignac number, because 72067440901 - 2²⁹ = 71530569989 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 (72067440911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14823211 + ... + 14828071.

It is an arithmetic number, because the mean of its divisors is an integer number (2458871415).

Almost surely, 2^72067440901 is an apocalyptic number.

72067440901 is the 189826-th centered square number.

It is an amenable number.

72067440901 is a deficient number, since it is larger than the sum of its proper divisors (6616444379).

72067440901 is a wasteful number, since it uses less digits than its factorization.

72067440901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 72067440901 in words is "seventy-two billion, sixty-seven million, four hundred forty thousand, nine hundred one".