72607973 has 2 divisors, whose sum is σ = 72607974. Its totient is φ = 72607972.

The previous prime is 72607963. The next prime is 72607979. The reversal of 72607973 is 37970627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55026724 + 17581249 = 7418^2 + 4193^2 .

It is a cyclic number.

It is not a de Polignac number, because 72607973 - 2⁴ = 72607957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72607973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72607979) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36303986 + 36303987.

It is an arithmetic number, because the mean of its divisors is an integer number (36303987).

Almost surely, 2^72607973 is an apocalyptic number.

It is an amenable number.

72607973 is a deficient number, since it is larger than the sum of its proper divisors (1).

72607973 is an equidigital number, since it uses as much as digits as its factorization.

72607973 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 111132, while the sum is 41.

The square root of 72607973 is about 8521.0312169361. The cubic root of 72607973 is about 417.1844422515.

The spelling of 72607973 in words is "seventy-two million, six hundred seven thousand, nine hundred seventy-three".