72366313 has 8 divisors (see below), whose sum is σ = 73689480. Its totient is φ = 71047680.

The previous prime is 72366293. The next prime is 72366337. The reversal of 72366313 is 31366327.

It can be written as a sum of positive squares in 4 ways, for example, as 1671849 + 70694464 = 1293^2 + 8408^2 .

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 72366313 - 2²¹ = 70269161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72366373) 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, 56031 + ... + 57307.

It is an arithmetic number, because the mean of its divisors is an integer number (9211185).

Almost surely, 2^72366313 is an apocalyptic number.

It is an amenable number.

72366313 is a deficient number, since it is larger than the sum of its proper divisors (1323167).

72366313 is a wasteful number, since it uses less digits than its factorization.

72366313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267.

The product of its digits is 13608, while the sum is 31.

The square root of 72366313 is about 8506.8391897343. The cubic root of 72366313 is about 416.7210916285.

The spelling of 72366313 in words is "seventy-two million, three hundred sixty-six thousand, three hundred thirteen".