72082132 has 12 divisors (see below), whose sum is σ = 126475776. Its totient is φ = 35946200.

The previous prime is 72082123. The next prime is 72082133. The reversal of 72082132 is 23128027.

It is a junction number, because it is equal to n+sod(n) for n = 72082097 and 72082106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72082133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21994 + ... + 25057.

It is an arithmetic number, because the mean of its divisors is an integer number (10539648).

Almost surely, 2^72082132 is an apocalyptic number.

It is an amenable number.

72082132 is a deficient number, since it is larger than the sum of its proper divisors (54393644).

72082132 is a wasteful number, since it uses less digits than its factorization.

72082132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47438 (or 47436 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 72082132 is about 8490.1196693568. The cubic root of 72082132 is about 416.1748910222.

The spelling of 72082132 in words is "seventy-two million, eighty-two thousand, one hundred thirty-two".