72952193 has 2 divisors, whose sum is σ = 72952194. Its totient is φ = 72952192.

The previous prime is 72952189. The next prime is 72952223. The reversal of 72952193 is 39125927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72880369 + 71824 = 8537^2 + 268^2 .

It is an emirp because it is prime and its reverse (39125927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72952193 - 2² = 72952189 is a prime.

It is not a weakly prime, because it can be changed into another prime (72952133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36476096 + 36476097.

It is an arithmetic number, because the mean of its divisors is an integer number (36476097).

Almost surely, 2^72952193 is an apocalyptic number.

It is an amenable number.

72952193 is a deficient number, since it is larger than the sum of its proper divisors (1).

72952193 is an equidigital number, since it uses as much as digits as its factorization.

72952193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 34020, while the sum is 38.

The square root of 72952193 is about 8541.2055940599. The cubic root of 72952193 is about 417.8426660761.

The spelling of 72952193 in words is "seventy-two million, nine hundred fifty-two thousand, one hundred ninety-three".