73372993 has 2 divisors, whose sum is σ = 73372994. Its totient is φ = 73372992.

The previous prime is 73372991. The next prime is 73372997. The reversal of 73372993 is 39927337.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58186384 + 15186609 = 7628^2 + 3897^2 .

It is an emirp because it is prime and its reverse (39927337) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73372993 - 2¹ = 73372991 is a prime.

It is a super-2 number, since 2×73372993² = 10767192203556098, which contains 22 as substring.

Together with 73372991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (73372991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36686496 + 36686497.

It is an arithmetic number, because the mean of its divisors is an integer number (36686497).

Almost surely, 2^73372993 is an apocalyptic number.

It is an amenable number.

73372993 is a deficient number, since it is larger than the sum of its proper divisors (1).

73372993 is an equidigital number, since it uses as much as digits as its factorization.

73372993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 214326, while the sum is 43.

The square root of 73372993 is about 8565.8036984278. The cubic root of 73372993 is about 418.6445209047.

The spelling of 73372993 in words is "seventy-three million, three hundred seventy-two thousand, nine hundred ninety-three".