72219 has 16 divisors (see below), whose sum is σ = 116480. Its totient is φ = 38880.

The previous prime is 72211. The next prime is 72221. The reversal of 72219 is 91227.

It is a happy number.

It is not a de Polignac number, because 72219 - 2³ = 72211 is a prime.

It is a super-2 number, since 2×72219² = 10431167922, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 72195 and 72204.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72219.

It is not an unprimeable number, because it can be changed into a prime (72211) 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, 309 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2⁷²²¹⁹ is an apocalyptic number.

72219 is a deficient number, since it is larger than the sum of its proper divisors (44261).

72219 is a wasteful number, since it uses less digits than its factorization.

72219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210.

The product of its digits is 252, while the sum is 21.

The square root of 72219 is about 268.7359298642. The cubic root of 72219 is about 41.6438132454.

It can be divided in two parts, 722 and 19, that added together give a triangular number (741 = T₃₈).

The spelling of 72219 in words is "seventy-two thousand, two hundred nineteen".