72027 has 12 divisors (see below), whose sum is σ = 106704. Its totient is φ = 46800.

The previous prime is 72019. The next prime is 72031.

72027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72027 - 2³ = 72019 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (8892).

2⁷²⁰²⁷ is an apocalyptic number.

72027 is a deficient number, since it is larger than the sum of its proper divisors (34677).

72027 is a wasteful number, since it uses less digits than its factorization.

72027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 72027 is about 268.3784641136. The cubic root of 72027 is about 41.6068760207.

It can be divided in two parts, 720 and 27, that added together give a palindrome (747).

The spelling of 72027 in words is "seventy-two thousand, twenty-seven", and thus it is an iban number.