72966497 has 2 divisors, whose sum is σ = 72966498. Its totient is φ = 72966496.

The previous prime is 72966469. The next prime is 72966547. The reversal of 72966497 is 79466927.

It is an a-pointer prime, because the next prime (72966547) can be obtained adding 72966497 to its sum of digits (50).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 47554816 + 25411681 = 6896^2 + 5041^2 .

It is an emirp because it is prime and its reverse (79466927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72966497 - 2⁶ = 72966433 is a prime.

It is not a weakly prime, because it can be changed into another prime (72906497) 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, 36483248 + 36483249.

It is an arithmetic number, because the mean of its divisors is an integer number (36483249).

Almost surely, 2^72966497 is an apocalyptic number.

It is an amenable number.

72966497 is a deficient number, since it is larger than the sum of its proper divisors (1).

72966497 is an equidigital number, since it uses as much as digits as its factorization.

72966497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1143072, while the sum is 50.

The square root of 72966497 is about 8542.0429055350. The cubic root of 72966497 is about 417.8699735983.

The spelling of 72966497 in words is "seventy-two million, nine hundred sixty-six thousand, four hundred ninety-seven".