72547 has 2 divisors, whose sum is σ = 72548. Its totient is φ = 72546.

The previous prime is 72533. The next prime is 72551. The reversal of 72547 is 74527.

It is a strong prime.

It is an emirp because it is prime and its reverse (74527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72547 - 2¹⁵ = 39779 is a prime.

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

It is not a weakly prime, because it can be changed into another prime (72577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36273 + 36274.

It is an arithmetic number, because the mean of its divisors is an integer number (36274).

2⁷²⁵⁴⁷ is an apocalyptic number.

72547 is a deficient number, since it is larger than the sum of its proper divisors (1).

72547 is an equidigital number, since it uses as much as digits as its factorization.

72547 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1960, while the sum is 25.

The square root of 72547 is about 269.3455030254. The cubic root of 72547 is about 41.7067631799.

The spelling of 72547 in words is "seventy-two thousand, five hundred forty-seven".