72819073 has 2 divisors, whose sum is σ = 72819074. Its totient is φ = 72819072.

The previous prime is 72819053. The next prime is 72819079. The reversal of 72819073 is 37091827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52316289 + 20502784 = 7233^2 + 4528^2 .

It is an emirp because it is prime and its reverse (37091827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72819073 - 2⁹ = 72818561 is a prime.

It is not a weakly prime, because it can be changed into another prime (72819079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36409536 + 36409537.

It is an arithmetic number, because the mean of its divisors is an integer number (36409537).

Almost surely, 2^72819073 is an apocalyptic number.

It is an amenable number.

72819073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72819073 is an equidigital number, since it uses as much as digits as its factorization.

72819073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 72819073 is about 8533.4092249229. The cubic root of 72819073 is about 417.5883576004.

The spelling of 72819073 in words is "seventy-two million, eight hundred nineteen thousand, seventy-three".