72706433 has 8 divisors (see below), whose sum is σ = 77411880. Its totient is φ = 68048640.

The previous prime is 72706409. The next prime is 72706453. The reversal of 72706433 is 33460727.

It can be written as a sum of positive squares in 4 ways, for example, as 1270129 + 71436304 = 1127^2 + 8452^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72706433 - 2⁸ = 72706177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72706433.

It is not an unprimeable number, because it can be changed into a prime (72706453) 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 7 ways as a sum of consecutive naturals, for example, 8738 + ... + 14891.

It is an arithmetic number, because the mean of its divisors is an integer number (9676485).

Almost surely, 2^72706433 is an apocalyptic number.

It is an amenable number.

72706433 is a deficient number, since it is larger than the sum of its proper divisors (4705447).

72706433 is a wasteful number, since it uses less digits than its factorization.

72706433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23827.

The product of its (nonzero) digits is 21168, while the sum is 32.

The square root of 72706433 is about 8526.8067293683. The cubic root of 72706433 is about 417.3729313180.

The spelling of 72706433 in words is "seventy-two million, seven hundred six thousand, four hundred thirty-three".