72822827 has 16 divisors (see below), whose sum is σ = 91113984. Its totient is φ = 56544000.

The previous prime is 72822821. The next prime is 72822887.

72822827 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72822827 - 2¹⁰ = 72821803 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72822821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22427 + ... + 25467.

It is an arithmetic number, because the mean of its divisors is an integer number (5694624).

Almost surely, 2^72822827 is an apocalyptic number.

72822827 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72822827 is a deficient number, since it is larger than the sum of its proper divisors (18291157).

72822827 is a wasteful number, since it uses less digits than its factorization.

72822827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370.

The product of its digits is 50176, while the sum is 38.

The square root of 72822827 is about 8533.6291810694. The cubic root of 72822827 is about 417.5955333750.

The spelling of 72822827 in words is "seventy-two million, eight hundred twenty-two thousand, eight hundred twenty-seven".