872415219 has 16 divisors (see below), whose sum is σ = 1253310464. Its totient is φ = 536608800.

The previous prime is 872415211. The next prime is 872415239. The reversal of 872415219 is 912514278.

872415219 is nontrivially palindromic in base 2 and base 4.

It is not a de Polignac number, because 872415219 - 2³ = 872415211 is a prime.

It is a super-2 number, since 2×872415219² = 1522216628685635922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (872415211) 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, 102414 + ... + 110604.

It is an arithmetic number, because the mean of its divisors is an integer number (78331904).

Almost surely, 2^872415219 is an apocalyptic number.

872415219 is a deficient number, since it is larger than the sum of its proper divisors (380895245).

872415219 is a wasteful number, since it uses less digits than its factorization.

872415219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10938.

The product of its digits is 40320, while the sum is 39.

The square root of 872415219 is about 29536.6758285356. The cubic root of 872415219 is about 955.5228513991.

The spelling of 872415219 in words is "eight hundred seventy-two million, four hundred fifteen thousand, two hundred nineteen".