126072 has 48 divisors (see below), whose sum is σ = 365040. Its totient is φ = 39168.

The previous prime is 126067. The next prime is 126079. The reversal of 126072 is 270621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1173 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (7605).

2¹²⁶⁰⁷² is an apocalyptic number.

126072 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 126072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182520).

126072 is an abundant number, since it is smaller than the sum of its proper divisors (238968).

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

126072 is a wasteful number, since it uses less digits than its factorization.

126072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 126072 is about 355.0661910123. The cubic root of 126072 is about 50.1425266703.

Adding to 126072 its reverse (270621), we get a palindrome (396693).

It can be divided in two parts, 12 and 6072, that added together give a square (6084 = 78²).

The spelling of 126072 in words is "one hundred twenty-six thousand, seventy-two".