72141132 has 96 divisors (see below), whose sum is σ = 208051200. Its totient is φ = 19380480.

The previous prime is 72141107. The next prime is 72141137. The reversal of 72141132 is 23114127.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a junction number, because it is equal to n+sod(n) for n = 72141099 and 72141108.

It is not an unprimeable number, because it can be changed into a prime (72141137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69457 + ... + 70487.

It is an arithmetic number, because the mean of its divisors is an integer number (2167200).

Almost surely, 2^72141132 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 72141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104025600).

72141132 is an abundant number, since it is smaller than the sum of its proper divisors (135910068).

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

72141132 is a wasteful number, since it uses less digits than its factorization.

72141132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1060 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 72141132 is about 8493.5935857563. The cubic root of 72141132 is about 416.2884079305.

Adding to 72141132 its reverse (23114127), we get a palindrome (95255259).

The spelling of 72141132 in words is "seventy-two million, one hundred forty-one thousand, one hundred thirty-two".