72993353 has 2 divisors, whose sum is σ = 72993354. Its totient is φ = 72993352.

The previous prime is 72993311. The next prime is 72993379. The reversal of 72993353 is 35339927.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66455104 + 6538249 = 8152^2 + 2557^2 .

It is a cyclic number.

It is not a de Polignac number, because 72993353 - 2⁸ = 72993097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72993353.

It is not a weakly prime, because it can be changed into another prime (71993353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36496676 + 36496677.

It is an arithmetic number, because the mean of its divisors is an integer number (36496677).

Almost surely, 2^72993353 is an apocalyptic number.

It is an amenable number.

72993353 is a deficient number, since it is larger than the sum of its proper divisors (1).

72993353 is an equidigital number, since it uses as much as digits as its factorization.

72993353 is an evil number, because the sum of its binary digits is even.

The product of its digits is 153090, while the sum is 41.

The square root of 72993353 is about 8543.6147502097. The cubic root of 72993353 is about 417.9212342907.

The spelling of 72993353 in words is "seventy-two million, nine hundred ninety-three thousand, three hundred fifty-three".