72331873 has 2 divisors, whose sum is σ = 72331874. Its totient is φ = 72331872.

The previous prime is 72331871. The next prime is 72331877. The reversal of 72331873 is 37813327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68359824 + 3972049 = 8268^2 + 1993^2 .

It is a cyclic number.

It is not a de Polignac number, because 72331873 - 2¹ = 72331871 is a prime.

Together with 72331871, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72331871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36165936 + 36165937.

It is an arithmetic number, because the mean of its divisors is an integer number (36165937).

Almost surely, 2^72331873 is an apocalyptic number.

It is an amenable number.

72331873 is a deficient number, since it is larger than the sum of its proper divisors (1).

72331873 is an equidigital number, since it uses as much as digits as its factorization.

72331873 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21168, while the sum is 34.

The square root of 72331873 is about 8504.8146952182. The cubic root of 72331873 is about 416.6549736096.

The spelling of 72331873 in words is "seventy-two million, three hundred thirty-one thousand, eight hundred seventy-three".