138672 has 50 divisors (see below), whose sum is σ = 405108. Its totient is φ = 45792.

The previous prime is 138661. The next prime is 138679. The reversal of 138672 is 276831.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2016) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (138679) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1243 + ... + 1349.

2¹³⁸⁶⁷² is an apocalyptic number.

138672 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 138672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202554).

138672 is an abundant number, since it is smaller than the sum of its proper divisors (266436).

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

138672 is a wasteful number, since it uses less digits than its factorization.

138672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 138672 is about 372.3868955804. The cubic root of 138672 is about 51.7602374201.

The spelling of 138672 in words is "one hundred thirty-eight thousand, six hundred seventy-two".