4162872 has 64 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1169280.

The previous prime is 4162867. The next prime is 4162877. The reversal of 4162872 is 2782614.

It is an interprime number because it is at equal distance from previous prime (4162867) and next prime (4162877).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162877) 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, 11754 + ... + 12102.

It is an arithmetic number, because the mean of its divisors is an integer number (189000).

Almost surely, 2^4162872 is an apocalyptic number.

4162872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4162872 is an abundant number, since it is smaller than the sum of its proper divisors (7933128).

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

4162872 is a wasteful number, since it uses less digits than its factorization.

4162872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 4162872 is about 2040.3117408867. The cubic root of 4162872 is about 160.8660331256.

It can be divided in two parts, 41 and 62872, that multiplied together give a palindrome (2577752).

The spelling of 4162872 in words is "four million, one hundred sixty-two thousand, eight hundred seventy-two".