72953 has 2 divisors, whose sum is σ = 72954. Its totient is φ = 72952.

The previous prime is 72949. The next prime is 72959. The reversal of 72953 is 35927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 11449 = 248^2 + 107^2 .

72953 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 72953 - 2² = 72949 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36476 + 36477.

It is an arithmetic number, because the mean of its divisors is an integer number (36477).

2⁷²⁹⁵³ is an apocalyptic number.

It is an amenable number.

72953 is a deficient number, since it is larger than the sum of its proper divisors (1).

72953 is an equidigital number, since it uses as much as digits as its factorization.

72953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1890, while the sum is 26.

The square root of 72953 is about 270.0981303156. The cubic root of 72953 is about 41.7844206801.

Subtracting from 72953 its sum of digits (26), we obtain a palindrome (72927).

The spelling of 72953 in words is "seventy-two thousand, nine hundred fifty-three".