72949082832 has 60 divisors (see below), whose sum is σ = 205010420160. Its totient is φ = 24214607424.

The previous prime is 72949082831. The next prime is 72949082839. The reversal of 72949082832 is 23828094927.

It is a happy number.

72949082832 is a `hidden beast` number, since 72 + 9 + 490 + 8 + 2 + 83 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72949082831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1025398 + ... + 1094229.

It is an arithmetic number, because the mean of its divisors is an integer number (3416840336).

Almost surely, 2^72949082832 is an apocalyptic number.

72949082832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72949082832 is an abundant number, since it is smaller than the sum of its proper divisors (132061337328).

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

72949082832 is a wasteful number, since it uses less digits than its factorization.

72949082832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119880 (or 2119871 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 72949082832 in words is "seventy-two billion, nine hundred forty-nine million, eighty-two thousand, eight hundred thirty-two".