72604033 has 4 divisors (see below), whose sum is σ = 72621268. Its totient is φ = 72586800.

The previous prime is 72604019. The next prime is 72604039. The reversal of 72604033 is 33040627.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 32001649 + 40602384 = 5657^2 + 6372^2 .

It is a cyclic number.

It is not a de Polignac number, because 72604033 - 2⁹ = 72603521 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72603989 and 72604007.

It is not an unprimeable number, because it can be changed into a prime (72604039) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2383 + ... + 12283.

It is an arithmetic number, because the mean of its divisors is an integer number (18155317).

Almost surely, 2^72604033 is an apocalyptic number.

It is an amenable number.

72604033 is a deficient number, since it is larger than the sum of its proper divisors (17235).

72604033 is an equidigital number, since it uses as much as digits as its factorization.

72604033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17234.

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 72604033 is about 8520.8000211248. The cubic root of 72604033 is about 417.1768960810.

The spelling of 72604033 in words is "seventy-two million, six hundred four thousand, thirty-three".