72984804649 has 3 divisors (see below), whose sum is σ = 72985074807. Its totient is φ = 72984534492.

The previous prime is 72984804577. The next prime is 72984804653. The reversal of 72984804649 is 94640848927.

The square root of 72984804649 is 270157.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 94640848927 = 6679 ⋅14169913.

It can be written as a sum of positive squares in only one way, i.e., 1625299225 + 71359505424 = 40315^2 + 267132^2 .

It is not a de Polignac number, because 72984804649 - 2¹⁹ = 72984280361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72984804149) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 135079 + ... + 405235.

It is an arithmetic number, because the mean of its divisors is an integer number (24328358269).

Almost surely, 2^72984804649 is an apocalyptic number.

72984804649 is the 270157-th square number.

72984804649 is the 135079-th centered octagonal number.

It is an amenable number.

72984804649 is a deficient number, since it is larger than the sum of its proper divisors (270158).

72984804649 is an frugal number, since it uses more digits than its factorization.

72984804649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540314 (or 270157 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 72984804649 in words is "seventy-two billion, nine hundred eighty-four million, eight hundred four thousand, six hundred forty-nine".