72966857 has 2 divisors, whose sum is σ = 72966858. Its totient is φ = 72966856.

The previous prime is 72966851. The next prime is 72966911. The reversal of 72966857 is 75866927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66520336 + 6446521 = 8156^2 + 2539^2 .

It is a cyclic number.

It is not a de Polignac number, because 72966857 - 2⁴ = 72966841 is a prime.

It is not a weakly prime, because it can be changed into another prime (72966851) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36483428 + 36483429.

It is an arithmetic number, because the mean of its divisors is an integer number (36483429).

Almost surely, 2^72966857 is an apocalyptic number.

It is an amenable number.

72966857 is a deficient number, since it is larger than the sum of its proper divisors (1).

72966857 is an equidigital number, since it uses as much as digits as its factorization.

72966857 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1270080, while the sum is 50.

The square root of 72966857 is about 8542.0639777515. The cubic root of 72966857 is about 417.8706608222.

The spelling of 72966857 in words is "seventy-two million, nine hundred sixty-six thousand, eight hundred fifty-seven".