72306997 has 12 divisors (see below), whose sum is σ = 84322380. Its totient is φ = 61822656.

The previous prime is 72306977. The next prime is 72307007. The reversal of 72306997 is 79960327.

It can be written as a sum of positive squares in 2 ways, for example, as 43480836 + 28826161 = 6594^2 + 5369^2 .

It is not a de Polignac number, because 72306997 - 2¹¹ = 72304949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72306937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20779 + ... + 24007.

It is an arithmetic number, because the mean of its divisors is an integer number (7026865).

Almost surely, 2^72306997 is an apocalyptic number.

It is an amenable number.

72306997 is a deficient number, since it is larger than the sum of its proper divisors (12015383).

72306997 is a wasteful number, since it uses less digits than its factorization.

72306997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 43.

The square root of 72306997 is about 8503.3521037294. The cubic root of 72306997 is about 416.6072035321.

The spelling of 72306997 in words is "seventy-two million, three hundred six thousand, nine hundred ninety-seven".