1672 has 16 divisors (see below), whose sum is σ = 3600. Its totient is φ = 720.

The previous prime is 1669. The next prime is 1693. The reversal of 1672 is 2761.

1672 is nontrivially palindromic in base 15.

1672 is an esthetic number in base 8, base 14 and base 15, because in such bases its adjacent digits differ by 1.

It is a d-powerful number, because it can be written as 1 + 7³ + 6⁴ + 2⁵ .

It is an alternating number because its digits alternate between odd and even.

1672 is an undulating number in base 15.

1672 is a modest number, since divided by 72 gives 16 as remainder.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 8, base 12 and base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (225).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800).

1672 is an abundant number, since it is smaller than the sum of its proper divisors (1928).

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

1672 is a wasteful number, since it uses less digits than its factorization.

1672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 32 counting only the distinct ones).

The product of its digits is 84, while the sum is 16.

The square root of 1672 is about 40.8900966005. The cubic root of 1672 is about 11.8689442808.

Subtracting 1672 from its reverse (2761), we obtain a square (1089 = 33²).

It can be divided in two parts, 167 and 2, that added together give a square (169 = 13²).

The spelling of 1672 in words is "one thousand, six hundred seventy-two".