72004635 has 24 divisors (see below), whose sum is σ = 125025264. Its totient is φ = 38335680.

The previous prime is 72004631. The next prime is 72004643. The reversal of 72004635 is 53640027.

It is a happy number.

72004635 is a `hidden beast` number, since 7 + 20 + 0 + 4 + 635 = 666.

It is not a de Polignac number, because 72004635 - 2² = 72004631 is a prime.

It is a super-2 number, since 2×72004635² = 10369334922966450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72004599 and 72004608.

It is not an unprimeable number, because it can be changed into a prime (72004631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35509 + ... + 37481.

It is an arithmetic number, because the mean of its divisors is an integer number (5209386).

Almost surely, 2^72004635 is an apocalyptic number.

72004635 is a deficient number, since it is larger than the sum of its proper divisors (53020629).

72004635 is a wasteful number, since it uses less digits than its factorization.

72004635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72004635 is about 8485.5544898374. The cubic root of 72004635 is about 416.0256914452.

The spelling of 72004635 in words is "seventy-two million, four thousand, six hundred thirty-five".