72893413 has 2 divisors, whose sum is σ = 72893414. Its totient is φ = 72893412.

The previous prime is 72893411. The next prime is 72893459. The reversal of 72893413 is 31439827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58400164 + 14493249 = 7642^2 + 3807^2 .

It is a cyclic number.

It is not a de Polignac number, because 72893413 - 2¹ = 72893411 is a prime.

Together with 72893411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72893411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36446706 + 36446707.

It is an arithmetic number, because the mean of its divisors is an integer number (36446707).

Almost surely, 2^72893413 is an apocalyptic number.

It is an amenable number.

72893413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72893413 is an equidigital number, since it uses as much as digits as its factorization.

72893413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 37.

The square root of 72893413 is about 8537.7639344269. The cubic root of 72893413 is about 417.7304126932.

The spelling of 72893413 in words is "seventy-two million, eight hundred ninety-three thousand, four hundred thirteen".