72768535 has 32 divisors (see below), whose sum is σ = 102643200. Its totient is φ = 48497280.

The previous prime is 72768533. The next prime is 72768571. The reversal of 72768535 is 53586727.

It is not a de Polignac number, because 72768535 - 2¹ = 72768533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72768491 and 72768500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72768533) 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 31 ways as a sum of consecutive naturals, for example, 270381 + ... + 270649.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2^72768535 is an apocalyptic number.

72768535 is a deficient number, since it is larger than the sum of its proper divisors (29874665).

72768535 is a wasteful number, since it uses less digits than its factorization.

72768535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

The product of its digits is 352800, while the sum is 43.

The square root of 72768535 is about 8530.4475263611. The cubic root of 72768535 is about 417.4917301480.

The spelling of 72768535 in words is "seventy-two million, seven hundred sixty-eight thousand, five hundred thirty-five".