72082973 has 2 divisors, whose sum is σ = 72082974. Its totient is φ = 72082972.

The previous prime is 72082957. The next prime is 72082987. The reversal of 72082973 is 37928027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67601284 + 4481689 = 8222^2 + 2117^2 .

It is a cyclic number.

It is not a de Polignac number, because 72082973 - 2⁴ = 72082957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72082273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36041486 + 36041487.

It is an arithmetic number, because the mean of its divisors is an integer number (36041487).

Almost surely, 2^72082973 is an apocalyptic number.

It is an amenable number.

72082973 is a deficient number, since it is larger than the sum of its proper divisors (1).

72082973 is an equidigital number, since it uses as much as digits as its factorization.

72082973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 72082973 is about 8490.1691973717. The cubic root of 72082973 is about 416.1765095543.

The spelling of 72082973 in words is "seventy-two million, eighty-two thousand, nine hundred seventy-three".