72302828653449 has 9 divisors (see below), whose sum is σ = 104437456012903. Its totient is φ = 48201868762752.

The previous prime is 72302828653411. The next prime is 72302828653481. The reversal of 72302828653449 is 94435682820327.

The square root of 72302828653449 is 8503107.

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

72302828653449 is a `hidden beast` number, since 7 + 2 + 3 + 0 + 2 + 8 + 286 + 5 + 344 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3330468051849 + 68972360601600 = 1824957^2 + 8304960^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 72302828653449 - 2⁹ = 72302828652937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72302828653499) 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, 24092137 + ... + 26926505.

Almost surely, 2^{72302828653449} is an apocalyptic number.

72302828653449 is the 8503107-th square number.

72302828653449 is the 4251554-th centered octagonal number.

It is an amenable number.

72302828653449 is a deficient number, since it is larger than the sum of its proper divisors (32134627359454).

72302828653449 is an frugal number, since it uses more digits than its factorization.

72302828653449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668744 (or 2834372 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 72302828653449 in words is "seventy-two trillion, three hundred two billion, eight hundred twenty-eight million, six hundred fifty-three thousand, four hundred forty-nine".