1675872 has 108 divisors (see below), whose sum is σ = 5434884. Its totient is φ = 485760.

The previous prime is 1675867. The next prime is 1675873. The reversal of 1675872 is 2785761.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1675873) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72853 + ... + 72875.

It is an arithmetic number, because the mean of its divisors is an integer number (50323).

2^1675872 is an apocalyptic number.

1675872 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 1675872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717442).

1675872 is an abundant number, since it is smaller than the sum of its proper divisors (3759012).

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

1675872 is a wasteful number, since it uses less digits than its factorization.

1675872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 1675872 is about 1294.5547497113. The cubic root of 1675872 is about 118.7809920955.

The spelling of 1675872 in words is "one million, six hundred seventy-five thousand, eight hundred seventy-two".