72242566272 has 72 divisors (see below), whose sum is σ = 207911764515. Its totient is φ = 24077814528.

The previous prime is 72242566271. The next prime is 72242566303. The reversal of 72242566272 is 27266524227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

72242566272 is a `hidden beast` number, since 7 + 22 + 42 + 566 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36121283136 + 36121283136 = 190056^2 + 190056^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190056.

It is not an unprimeable number, because it can be changed into a prime (72242566271) 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, 9118729 + ... + 9126647.

Almost surely, 2^72242566272 is an apocalyptic number.

72242566272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72242566272 is an abundant number, since it is smaller than the sum of its proper divisors (135669198243).

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

72242566272 is an frugal number, since it uses more digits than its factorization.

72242566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15858 (or 7924 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 72242566272 in words is "seventy-two billion, two hundred forty-two million, five hundred sixty-six thousand, two hundred seventy-two".