72106693 has 2 divisors, whose sum is σ = 72106694. Its totient is φ = 72106692.

The previous prime is 72106631. The next prime is 72106703. The reversal of 72106693 is 39660127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55606849 + 16499844 = 7457^2 + 4062^2 .

It is a cyclic number.

It is not a de Polignac number, because 72106693 - 2¹³ = 72098501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72106603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36053346 + 36053347.

It is an arithmetic number, because the mean of its divisors is an integer number (36053347).

Almost surely, 2^72106693 is an apocalyptic number.

It is an amenable number.

72106693 is a deficient number, since it is larger than the sum of its proper divisors (1).

72106693 is an equidigital number, since it uses as much as digits as its factorization.

72106693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 72106693 is about 8491.5659922066. The cubic root of 72106693 is about 416.2221542874. Note that the first 3 decimals are identical.

The spelling of 72106693 in words is "seventy-two million, one hundred six thousand, six hundred ninety-three".