72251 has 2 divisors, whose sum is σ = 72252. Its totient is φ = 72250.

The previous prime is 72229. The next prime is 72253. The reversal of 72251 is 15227.

It is a strong prime.

It is an emirp because it is prime and its reverse (15227) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72251 is a prime.

Together with 72253, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36125 + 36126.

It is an arithmetic number, because the mean of its divisors is an integer number (36126).

2⁷²²⁵¹ is an apocalyptic number.

72251 is a deficient number, since it is larger than the sum of its proper divisors (1).

72251 is an equidigital number, since it uses as much as digits as its factorization.

72251 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 140, while the sum is 17.

The square root of 72251 is about 268.7954612712. The cubic root of 72251 is about 41.6499630824.

Adding to 72251 its reverse (15227), we get a palindrome (87478).

It can be divided in two parts, 72 and 251, that added together give a palindrome (323).

The spelling of 72251 in words is "seventy-two thousand, two hundred fifty-one".