72014047 has 16 divisors (see below), whose sum is σ = 89625600. Its totient is φ = 56458080.

The previous prime is 72014029. The next prime is 72014053. The reversal of 72014047 is 74041027.

It is not a de Polignac number, because 72014047 - 2⁷ = 72013919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72014017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5479 + ... + 13192.

It is an arithmetic number, because the mean of its divisors is an integer number (5601600).

Almost surely, 2^72014047 is an apocalyptic number.

72014047 is a deficient number, since it is larger than the sum of its proper divisors (17611553).

72014047 is a wasteful number, since it uses less digits than its factorization.

72014047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18726.

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 72014047 is about 8486.1090612836. The cubic root of 72014047 is about 416.0438174229.

The spelling of 72014047 in words is "seventy-two million, fourteen thousand, forty-seven".