72992849 has 8 divisors (see below), whose sum is σ = 77361480. Its totient is φ = 68632576.

The previous prime is 72992839. The next prime is 72992891. The reversal of 72992849 is 94829927.

It can be written as a sum of positive squares in 4 ways, for example, as 34304449 + 38688400 = 5857^2 + 6220^2 .

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 72992849 - 2¹⁶ = 72927313 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72992797 and 72992806.

It is not an unprimeable number, because it can be changed into a prime (72992839) 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, 30977 + ... + 33249.

It is an arithmetic number, because the mean of its divisors is an integer number (9670185).

Almost surely, 2^72992849 is an apocalyptic number.

It is an amenable number.

72992849 is a deficient number, since it is larger than the sum of its proper divisors (4368631).

72992849 is a wasteful number, since it uses less digits than its factorization.

72992849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179.

The product of its digits is 653184, while the sum is 50.

The square root of 72992849 is about 8543.5852544468. The cubic root of 72992849 is about 417.9202724096.

The spelling of 72992849 in words is "seventy-two million, nine hundred ninety-two thousand, eight hundred forty-nine".