72707033 has 12 divisors (see below), whose sum is σ = 85359780. Its totient is φ = 61744032.

The previous prime is 72707021. The next prime is 72707039. The reversal of 72707033 is 33070727.

It can be written as a sum of positive squares in 2 ways, for example, as 16711744 + 55995289 = 4088^2 + 7483^2 .

It is not a de Polignac number, because 72707033 - 2⁶ = 72706969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72706987 and 72707005.

It is not an unprimeable number, because it can be changed into a prime (72707039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1466 + ... + 12147.

It is an arithmetic number, because the mean of its divisors is an integer number (7113315).

Almost surely, 2^72707033 is an apocalyptic number.

It is an amenable number.

72707033 is a deficient number, since it is larger than the sum of its proper divisors (12652747).

72707033 is a wasteful number, since it uses less digits than its factorization.

72707033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13736 (or 13729 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 29.

The square root of 72707033 is about 8526.8419124550. The cubic root of 72707033 is about 417.3740794193.

The spelling of 72707033 in words is "seventy-two million, seven hundred seven thousand, thirty-three".