72844827 has 16 divisors (see below), whose sum is σ = 106151808. Its totient is φ = 44066880.

The previous prime is 72844819. The next prime is 72844853.

72844827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72844827 - 2³ = 72844819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72844627) 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 15 ways as a sum of consecutive naturals, for example, 19503 + ... + 22935.

It is an arithmetic number, because the mean of its divisors is an integer number (6634488).

Almost surely, 2^72844827 is an apocalyptic number.

72844827 is a deficient number, since it is larger than the sum of its proper divisors (33306981).

72844827 is a wasteful number, since it uses less digits than its factorization.

72844827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090.

The product of its digits is 200704, while the sum is 42.

The square root of 72844827 is about 8534.9181015403. The cubic root of 72844827 is about 417.6375814393.

The spelling of 72844827 in words is "seventy-two million, eight hundred forty-four thousand, eight hundred twenty-seven".