872235 has 64 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 362880.

The previous prime is 872231. The next prime is 872237. The reversal of 872235 is 532278.

872235 = 253² + 254² + ... + 265².

872235 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 872235 - 2² = 872231 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 2⁴ + 2⁸ + 3³ + 5⁶ .

Its product of digits (3360) is a multiple of the sum of its prime factors (105).

872235 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 872199 and 872208.

It is not an unprimeable number, because it can be changed into a prime (872231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12250 + ... + 12320.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2⁸⁷²²³⁵ is an apocalyptic number.

872235 is an abundant number, since it is smaller than the sum of its proper divisors (1063125).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

872235 is a wasteful number, since it uses less digits than its factorization.

872235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 872235 is about 933.9352225931. The cubic root of 872235 is about 95.5457051220.

The spelling of 872235 in words is "eight hundred seventy-two thousand, two hundred thirty-five".