72764017 has 2 divisors, whose sum is σ = 72764018. Its totient is φ = 72764016.

The previous prime is 72763993. The next prime is 72764023. The reversal of 72764017 is 71046727.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67963536 + 4800481 = 8244^2 + 2191^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72764017 is a prime.

It is a pancake number, because a pancake can be divided into 72764017 parts by 12063 straight cuts.

It is not a weakly prime, because it can be changed into another prime (72764047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36382008 + 36382009.

It is an arithmetic number, because the mean of its divisors is an integer number (36382009).

Almost surely, 2^72764017 is an apocalyptic number.

It is an amenable number.

72764017 is a deficient number, since it is larger than the sum of its proper divisors (1).

72764017 is an equidigital number, since it uses as much as digits as its factorization.

72764017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 72764017 is about 8530.1827061324. The cubic root of 72764017 is about 417.4830896613.

The spelling of 72764017 in words is "seventy-two million, seven hundred sixty-four thousand, seventeen".