72253 has 2 divisors, whose sum is σ = 72254. Its totient is φ = 72252.

The previous prime is 72251. The next prime is 72269. The reversal of 72253 is 35227.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 13689 = 242^2 + 117^2 .

It is an emirp because it is prime and its reverse (35227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72253 - 2¹ = 72251 is a prime.

Together with 72251, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 72253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36126 + 36127.

It is an arithmetic number, because the mean of its divisors is an integer number (36127).

2⁷²²⁵³ is an apocalyptic number.

It is an amenable number.

72253 is a deficient number, since it is larger than the sum of its proper divisors (1).

72253 is an equidigital number, since it uses as much as digits as its factorization.

72253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 420, while the sum is 19.

The square root of 72253 is about 268.7991815464. The cubic root of 72253 is about 41.6503473870.

It can be divided in two parts, 72 and 253, that added together give a triangular number (325 = T₂₅).

The spelling of 72253 in words is "seventy-two thousand, two hundred fifty-three".