72107633 has 4 divisors (see below), whose sum is σ = 77654388. Its totient is φ = 66560880.

The previous prime is 72107627. The next prime is 72107677. The reversal of 72107633 is 33670127.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 39526369 + 32581264 = 6287^2 + 5708^2 .

It is a cyclic number.

It is not a de Polignac number, because 72107633 - 2⁸ = 72107377 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72107596 and 72107605.

It is not an unprimeable number, because it can be changed into a prime (72107683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2773358 + ... + 2773383.

It is an arithmetic number, because the mean of its divisors is an integer number (19413597).

Almost surely, 2^72107633 is an apocalyptic number.

It is an amenable number.

72107633 is a deficient number, since it is larger than the sum of its proper divisors (5546755).

72107633 is a wasteful number, since it uses less digits than its factorization.

72107633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5546754.

The product of its (nonzero) digits is 5292, while the sum is 29.

The square root of 72107633 is about 8491.6213410632. The cubic root of 72107633 is about 416.2239629365.

The spelling of 72107633 in words is "seventy-two million, one hundred seven thousand, six hundred thirty-three".