872152 has 16 divisors (see below), whose sum is σ = 1675800. Its totient is φ = 425280.

The previous prime is 872149. The next prime is 872159. The reversal of 872152 is 251278.

It is a super-2 number, since 2×872152² = 1521298222208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1002 + ... + 1657.

2⁸⁷²¹⁵² is an apocalyptic number.

872152 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

872152 is a deficient number, since it is larger than the sum of its proper divisors (803648).

872152 is a wasteful number, since it uses less digits than its factorization.

872152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2702 counting only the distinct ones).

The product of its digits is 1120, while the sum is 25.

The square root of 872152 is about 933.8907859059. The cubic root of 872152 is about 95.5426743849.

It can be divided in two parts, 872 and 152, that added together give a 10-th power (1024 = 2¹⁰).

The spelling of 872152 in words is "eight hundred seventy-two thousand, one hundred fifty-two".