10672 has 20 divisors (see below), whose sum is σ = 22320. Its totient is φ = 4928.

The previous prime is 10667. The next prime is 10687. The reversal of 10672 is 27601.

It is a super-2 number, since 2×10672² = 227783168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 9.

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, 354 + ... + 382.

It is an arithmetic number, because the mean of its divisors is an integer number (1116).

2¹⁰⁶⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160).

10672 is an abundant number, since it is smaller than the sum of its proper divisors (11648).

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

10672 is a wasteful number, since it uses less digits than its factorization.

10672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

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

The square root of 10672 is about 103.3053725612. The cubic root of 10672 is about 22.0165165227.

The spelling of 10672 in words is "ten thousand, six hundred seventy-two".