72906047 has 8 divisors (see below), whose sum is σ = 77378400. Its totient is φ = 68454144.

The previous prime is 72906023. The next prime is 72906061. The reversal of 72906047 is 74060927.

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 72906047 - 2¹⁰ = 72905023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72905998 and 72906016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72906007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2579 + ... + 12347.

It is an arithmetic number, because the mean of its divisors is an integer number (9672300).

Almost surely, 2^72906047 is an apocalyptic number.

72906047 is a deficient number, since it is larger than the sum of its proper divisors (4472353).

72906047 is a wasteful number, since it uses less digits than its factorization.

72906047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10225.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 72906047 is about 8538.5037916487. The cubic root of 72906047 is about 417.7545451946.

The spelling of 72906047 in words is "seventy-two million, nine hundred six thousand, forty-seven".