72512073 has 12 divisors (see below), whose sum is σ = 104972868. Its totient is φ = 48233760.

The previous prime is 72512071. The next prime is 72512101. The reversal of 72512073 is 37021527.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 59028489 = 3672^2 + 7683^2 .

It is not a de Polignac number, because 72512073 - 2¹ = 72512071 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72512071) 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 11 ways as a sum of consecutive naturals, for example, 4590 + ... + 12887.

It is an arithmetic number, because the mean of its divisors is an integer number (8747739).

Almost surely, 2^72512073 is an apocalyptic number.

It is an amenable number.

72512073 is a deficient number, since it is larger than the sum of its proper divisors (32460795).

72512073 is a wasteful number, since it uses less digits than its factorization.

72512073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17944 (or 17941 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72512073 is about 8515.4021044223. The cubic root of 72512073 is about 417.0006900943. Note that the first 3 decimals are identical.

The spelling of 72512073 in words is "seventy-two million, five hundred twelve thousand, seventy-three".