72126 has 12 divisors (see below), whose sum is σ = 156312. Its totient is φ = 24036.

The previous prime is 72109. The next prime is 72139. The reversal of 72126 is 62127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 4007 = 72126 / (7 + 2 + 1 + 2 + 6).

It is a Curzon number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 72099 and 72108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1986 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (13026).

2⁷²¹²⁶ is an apocalyptic number.

72126 is an abundant number, since it is smaller than the sum of its proper divisors (84186).

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

72126 is a wasteful number, since it uses less digits than its factorization.

72126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4012 counting only the distinct ones).

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

The square root of 72126 is about 268.5628418080. The cubic root of 72126 is about 41.6259299633.

Subtracting from 72126 its reverse (62127), we obtain a palindrome (9999).

It can be divided in two parts, 721 and 26, that added together give a palindrome (747).

The spelling of 72126 in words is "seventy-two thousand, one hundred twenty-six".