872742 has 32 divisors (see below), whose sum is σ = 1919232. Its totient is φ = 262944.

The previous prime is 872737. The next prime is 872747. The reversal of 872742 is 247278.

It is an interprime number because it is at equal distance from previous prime (872737) and next prime (872747).

It is a d-powerful number, because it can be written as 8 + 7 + 7⁷ + 2⁵ + 4⁷ + 2¹⁵ .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872747) by changing a digit.

872742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5143 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

2⁸⁷²⁷⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959616).

872742 is an abundant number, since it is smaller than the sum of its proper divisors (1046490).

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

872742 is a wasteful number, since it uses less digits than its factorization.

872742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252.

The product of its digits is 6272, while the sum is 30.

The square root of 872742 is about 934.2066152624. The cubic root of 872742 is about 95.5642140062.

The spelling of 872742 in words is "eight hundred seventy-two thousand, seven hundred forty-two".