72261573122 has 18 divisors (see below), whose sum is σ = 109301426787. Its totient is φ = 35830268500.

The previous prime is 72261573001. The next prime is 72261573127. The reversal of 72261573122 is 22137516227.

It can be written as a sum of positive squares in only one way, i.e., 36130786561 + 36130786561 = 190081^2 + 190081^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=190081.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72261573127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49800497 + ... + 49801947.

Almost surely, 2^72261573122 is an apocalyptic number.

72261573122 is a deficient number, since it is larger than the sum of its proper divisors (37039853665).

72261573122 is an frugal number, since it uses more digits than its factorization.

72261573122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 1584 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The spelling of 72261573122 in words is "seventy-two billion, two hundred sixty-one million, five hundred seventy-three thousand, one hundred twenty-two".