72766213 has 8 divisors (see below), whose sum is σ = 78430968. Its totient is φ = 67111104.

The previous prime is 72766193. The next prime is 72766223. The reversal of 72766213 is 31266727.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4588164 + 68178049 = 2142^2 + 8257^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72766213 - 2¹⁷ = 72635141 is a prime.

It is a super-2 number, since 2×72766213² = 10589843508722738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72766223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24231 + ... + 27067.

It is an arithmetic number, because the mean of its divisors is an integer number (9803871).

Almost surely, 2^72766213 is an apocalyptic number.

It is an amenable number.

72766213 is a deficient number, since it is larger than the sum of its proper divisors (5664755).

72766213 is a wasteful number, since it uses less digits than its factorization.

72766213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823.

The product of its digits is 21168, while the sum is 34.

The square root of 72766213 is about 8530.3114245612. The cubic root of 72766213 is about 417.4872894645.

The spelling of 72766213 in words is "seventy-two million, seven hundred sixty-six thousand, two hundred thirteen".