72126000 has 120 divisors (see below), whose sum is σ = 251974944. Its totient is φ = 19228800.

The previous prime is 72125981. The next prime is 72126001. The reversal of 72126000 is 62127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (72126001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15997 + ... + 20003.

Almost surely, 2^72126000 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 72126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125987472).

72126000 is an abundant number, since it is smaller than the sum of its proper divisors (179848944).

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

72126000 is a wasteful number, since it uses less digits than its factorization.

72126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036 (or 4017 counting only the distinct ones).

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

The square root of 72126000 is about 8492.7027500084. The cubic root of 72126000 is about 416.2592996326.

Adding to 72126000 its reverse (62127), we get a palindrome (72188127).

The spelling of 72126000 in words is "seventy-two million, one hundred twenty-six thousand".