72947 has 8 divisors (see below), whose sum is σ = 88416. Its totient is φ = 58752.

The previous prime is 72937. The next prime is 72949. The reversal of 72947 is 74927.

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

It is not a de Polignac number, because 72947 - 2⁴ = 72931 is a prime.

It is a d-powerful number, because it can be written as 7⁵ + 2¹⁵ + 9⁴ + 4 + 7⁵ .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72949) 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, 188 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (11052).

2⁷²⁹⁴⁷ is an apocalyptic number.

72947 is a deficient number, since it is larger than the sum of its proper divisors (15469).

72947 is a wasteful number, since it uses less digits than its factorization.

72947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637.

The product of its digits is 3528, while the sum is 29.

The square root of 72947 is about 270.0870230130. The cubic root of 72947 is about 41.7832751325.

The spelling of 72947 in words is "seventy-two thousand, nine hundred forty-seven".