73227 has 16 divisors (see below), whose sum is σ = 122112. Its totient is φ = 37920.

The previous prime is 73189. The next prime is 73237. The reversal of 73227 is 72237.

73227 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 73227 - 2¹⁴ = 56843 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a cake number, because a cake can be divided into 73227 parts by 76 planar cuts.

73227 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73227.

It is not an unprimeable number, because it can be changed into a prime (73237) 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, 73 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (7632).

2⁷³²²⁷ is an apocalyptic number.

73227 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

73227 is a deficient number, since it is larger than the sum of its proper divisors (48885).

73227 is a wasteful number, since it uses less digits than its factorization.

73227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338.

The product of its digits is 588, while the sum is 21.

The square root of 73227 is about 270.6048780048. The cubic root of 73227 is about 41.8366672299.

Subtracting from 73227 its reverse (72237), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 73 and 227, that added together give a triangular number (300 = T₂₄).

The spelling of 73227 in words is "seventy-three thousand, two hundred twenty-seven", and thus it is an iban number.