72866827 has 8 divisors (see below), whose sum is σ = 80221680. Its totient is φ = 65633760.

The previous prime is 72866813. The next prime is 72866831.

72866827 is nontrivially palindromic in base 10.

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 72866827 - 2⁷ = 72866699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72866887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29188 + ... + 31585.

It is an arithmetic number, because the mean of its divisors is an integer number (10027710).

Almost surely, 2^72866827 is an apocalyptic number.

72866827 is a deficient number, since it is larger than the sum of its proper divisors (7354853).

72866827 is a wasteful number, since it uses less digits than its factorization.

72866827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60893.

The product of its digits is 451584, while the sum is 46.

The square root of 72866827 is about 8536.2068273912. The cubic root of 72866827 is about 417.6796210384.

The spelling of 72866827 in words is "seventy-two million, eight hundred sixty-six thousand, eight hundred twenty-seven".