72982332 has 36 divisors (see below), whose sum is σ = 184822456. Its totient is φ = 24282720.

The previous prime is 72982331. The next prime is 72982361. The reversal of 72982332 is 23328927.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72982331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22263 + ... + 25329.

Almost surely, 2^72982332 is an apocalyptic number.

It is an amenable number.

72982332 is an abundant number, since it is smaller than the sum of its proper divisors (111840124).

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

72982332 is a wasteful number, since it uses less digits than its factorization.

72982332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3733 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72982332 is about 8542.9697412551. The cubic root of 72982332 is about 417.9001997647.

The spelling of 72982332 in words is "seventy-two million, nine hundred eighty-two thousand, three hundred thirty-two".