72659993 has 12 divisors (see below), whose sum is σ = 87439140. Its totient is φ = 60131232.

The previous prime is 72659957. The next prime is 72660019. The reversal of 72659993 is 39995627.

It can be written as a sum of positive squares in 2 ways, for example, as 51380224 + 21279769 = 7168^2 + 4613^2 .

It is not a de Polignac number, because 72659993 - 2²⁰ = 71611417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72659903) 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, 24146 + ... + 26987.

It is an arithmetic number, because the mean of its divisors is an integer number (7286595).

Almost surely, 2^72659993 is an apocalyptic number.

It is an amenable number.

72659993 is a deficient number, since it is larger than the sum of its proper divisors (14779147).

72659993 is a wasteful number, since it uses less digits than its factorization.

72659993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51176 (or 51169 counting only the distinct ones).

The product of its digits is 918540, while the sum is 50.

The square root of 72659993 is about 8524.0831178491. The cubic root of 72659993 is about 417.2840490994.

The spelling of 72659993 in words is "seventy-two million, six hundred fifty-nine thousand, nine hundred ninety-three".