72063254916 has 27 divisors (see below), whose sum is σ = 182163965893. Its totient is φ = 24020548080.

The previous prime is 72063254903. The next prime is 72063254917. The reversal of 72063254916 is 61945236027.

The square root of 72063254916 is 268446.

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

72063254916 is a `hidden beast` number, since 7 + 2 + 0 + 632 + 5 + 4 + 9 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 260693316 + 71802561600 = 16146^2 + 267960^2 .

It is a super-2 number, since 2×72063254916² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72063254917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1588306 + ... + 1633046.

Almost surely, 2^72063254916 is an apocalyptic number.

72063254916 is the 268446-th square number.

It is an amenable number.

72063254916 is an abundant number, since it is smaller than the sum of its proper divisors (110100710977).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72063254916 is an frugal number, since it uses more digits than its factorization.

72063254916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89492 (or 44746 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 72063254916 in words is "seventy-two billion, sixty-three million, two hundred fifty-four thousand, nine hundred sixteen".