72006132 has 72 divisors (see below), whose sum is σ = 186885216. Its totient is φ = 21560000.

The previous prime is 72006113. The next prime is 72006133. The reversal of 72006132 is 23160027.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72006099 and 72006108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72006133) 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, 146407 + ... + 146897.

It is an arithmetic number, because the mean of its divisors is an integer number (2595628).

Almost surely, 2^72006132 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 72006132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93442608).

72006132 is an abundant number, since it is smaller than the sum of its proper divisors (114879084).

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

72006132 is a wasteful number, since it uses less digits than its factorization.

72006132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 72006132 is about 8485.6426981107. The cubic root of 72006132 is about 416.0285745288.

Adding to 72006132 its reverse (23160027), we get a palindrome (95166159).

The spelling of 72006132 in words is "seventy-two million, six thousand, one hundred thirty-two".