72921193 has 2 divisors, whose sum is σ = 72921194. Its totient is φ = 72921192.

The previous prime is 72921181. The next prime is 72921197. The reversal of 72921193 is 39112927.

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., 62916624 + 10004569 = 7932^2 + 3163^2 .

It is a cyclic number.

It is not a de Polignac number, because 72921193 - 2⁵ = 72921161 is a prime.

It is not a weakly prime, because it can be changed into another prime (72921197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36460596 + 36460597.

It is an arithmetic number, because the mean of its divisors is an integer number (36460597).

Almost surely, 2^72921193 is an apocalyptic number.

It is an amenable number.

72921193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72921193 is an equidigital number, since it uses as much as digits as its factorization.

72921193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 34.

The square root of 72921193 is about 8539.3906691286. The cubic root of 72921193 is about 417.7834722520.

The spelling of 72921193 in words is "seventy-two million, nine hundred twenty-one thousand, one hundred ninety-three".