72364073 has 2 divisors, whose sum is σ = 72364074. Its totient is φ = 72364072.

The previous prime is 72364069. The next prime is 72364091. The reversal of 72364073 is 37046327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62047129 + 10316944 = 7877^2 + 3212^2 .

It is an emirp because it is prime and its reverse (37046327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72364073 - 2² = 72364069 is a prime.

It is a super-2 number, since 2×72364073² = 10473118122298658, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72364093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36182036 + 36182037.

It is an arithmetic number, because the mean of its divisors is an integer number (36182037).

Almost surely, 2^72364073 is an apocalyptic number.

It is an amenable number.

72364073 is a deficient number, since it is larger than the sum of its proper divisors (1).

72364073 is an equidigital number, since it uses as much as digits as its factorization.

72364073 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 32.

The square root of 72364073 is about 8506.7075299437. The cubic root of 72364073 is about 416.7167919074.

The spelling of 72364073 in words is "seventy-two million, three hundred sixty-four thousand, seventy-three".