72705635 has 8 divisors (see below), whose sum is σ = 87294240. Its totient is φ = 58132864.

The previous prime is 72705631. The next prime is 72705637. The reversal of 72705635 is 53650727.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72705635 - 2² = 72705631 is a prime.

It is a super-2 number, since 2×72705635² = 10572218721506450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72705595 and 72705604.

It is not an unprimeable number, because it can be changed into a prime (72705631) 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 7 ways as a sum of consecutive naturals, for example, 12011 + ... + 17019.

It is an arithmetic number, because the mean of its divisors is an integer number (10911780).

Almost surely, 2^72705635 is an apocalyptic number.

72705635 is a deficient number, since it is larger than the sum of its proper divisors (14588605).

72705635 is a wasteful number, since it uses less digits than its factorization.

72705635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917.

The product of its (nonzero) digits is 44100, while the sum is 35.

The square root of 72705635 is about 8526.7599356379. The cubic root of 72705635 is about 417.3714043333.

The spelling of 72705635 in words is "seventy-two million, seven hundred five thousand, six hundred thirty-five".