72704133 has 6 divisors (see below), whose sum is σ = 105017094. Its totient is φ = 48469416.

The previous prime is 72704117. The next prime is 72704153. The reversal of 72704133 is 33140727.

It can be written as a sum of positive squares in only one way, i.e., 69255684 + 3448449 = 8322^2 + 1857^2 .

It is not a de Polignac number, because 72704133 - 2⁴ = 72704117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72704097 and 72704106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72704153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4039110 + ... + 4039127.

It is an arithmetic number, because the mean of its divisors is an integer number (17502849).

Almost surely, 2^72704133 is an apocalyptic number.

It is an amenable number.

72704133 is a deficient number, since it is larger than the sum of its proper divisors (32312961).

72704133 is a wasteful number, since it uses less digits than its factorization.

72704133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8078243 (or 8078240 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72704133 is about 8526.6718595241. The cubic root of 72704133 is about 417.3685302041.

The spelling of 72704133 in words is "seventy-two million, seven hundred four thousand, one hundred thirty-three".