72855827 has 8 divisors (see below), whose sum is σ = 80299632. Its totient is φ = 65548800.

The previous prime is 72855821. The next prime is 72855841.

72855827 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 72855827 - 2¹⁴ = 72839443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72855821) 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 7 ways as a sum of consecutive naturals, for example, 33074 + ... + 35207.

It is an arithmetic number, because the mean of its divisors is an integer number (10037454).

Almost surely, 2^72855827 is an apocalyptic number.

72855827 is a deficient number, since it is larger than the sum of its proper divisors (7443805).

72855827 is a wasteful number, since it uses less digits than its factorization.

72855827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68389.

The product of its digits is 313600, while the sum is 44.

The square root of 72855827 is about 8535.5624887877. The cubic root of 72855827 is about 417.6586022967.

The spelling of 72855827 in words is "seventy-two million, eight hundred fifty-five thousand, eight hundred twenty-seven".