1827672 has 128 divisors (see below), whose sum is σ = 6082560. Its totient is φ = 443520.

The previous prime is 1827659. The next prime is 1827673. The reversal of 1827672 is 2767281.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (1827673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42483 + ... + 42525.

It is an arithmetic number, because the mean of its divisors is an integer number (47520).

2^1827672 is an apocalyptic number.

1827672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

1827672 is the 1104-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041280).

1827672 is an abundant number, since it is smaller than the sum of its proper divisors (4254888).

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

1827672 is a wasteful number, since it uses less digits than its factorization.

1827672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 1827672 is about 1351.9141984608. The cubic root of 1827672 is about 122.2642306777.

The spelling of 1827672 in words is "one million, eight hundred twenty-seven thousand, six hundred seventy-two".