64672 has 24 divisors (see below), whose sum is σ = 133056. Its totient is φ = 30912.

The previous prime is 64667. The next prime is 64679. The reversal of 64672 is 27646.

64672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1353 + ... + 1399.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁶⁴⁶⁷² 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 64672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528).

64672 is an abundant number, since it is smaller than the sum of its proper divisors (68384).

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

64672 is a wasteful number, since it uses less digits than its factorization.

64672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 92 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 64672 is about 254.3069012040. The cubic root of 64672 is about 40.1395128385.

The spelling of 64672 in words is "sixty-four thousand, six hundred seventy-two".