1642872 has 96 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 423360.

The previous prime is 1642859. The next prime is 1642903. The reversal of 1642872 is 2782461.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12873 + ... + 12999.

It is an arithmetic number, because the mean of its divisors is an integer number (54720).

2^1642872 is an apocalyptic number.

1642872 is a gapful number since it is divisible by the number (12) 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 1642872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626560).

1642872 is an abundant number, since it is smaller than the sum of its proper divisors (3610248).

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

1642872 is a wasteful number, since it uses less digits than its factorization.

1642872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

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

The square root of 1642872 is about 1281.7456846036. The cubic root of 1642872 is about 117.9961695587.

The spelling of 1642872 in words is "one million, six hundred forty-two thousand, eight hundred seventy-two".