72973 has 2 divisors, whose sum is σ = 72974. Its totient is φ = 72972.

The previous prime is 72959. The next prime is 72977. The reversal of 72973 is 37927.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 13924 = 243^2 + 118^2 .

It is a cyclic number.

It is not a de Polignac number, because 72973 - 2⁹ = 72461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36486 + 36487.

It is an arithmetic number, because the mean of its divisors is an integer number (36487).

2⁷²⁹⁷³ is an apocalyptic number.

It is an amenable number.

72973 is a deficient number, since it is larger than the sum of its proper divisors (1).

72973 is an equidigital number, since it uses as much as digits as its factorization.

72973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646, while the sum is 28.

The square root of 72973 is about 270.1351513595. The cubic root of 72973 is about 41.7882387185.

The spelling of 72973 in words is "seventy-two thousand, nine hundred seventy-three".