126672 has 80 divisors (see below), whose sum is σ = 416640. Its totient is φ = 32256.

The previous prime is 126653. The next prime is 126683. The reversal of 126672 is 276621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4354 + ... + 4382.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2¹²⁶⁶⁷² is an apocalyptic number.

126672 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 126672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

126672 is an abundant number, since it is smaller than the sum of its proper divisors (289968).

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

126672 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 126672 = (212676)₉.

126672 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 digits is 1008, while the sum is 24.

The square root of 126672 is about 355.9101010087. The cubic root of 126672 is about 50.2219466691.

The spelling of 126672 in words is "one hundred twenty-six thousand, six hundred seventy-two".