72184820472 has 24 divisors (see below), whose sum is σ = 195500555640. Its totient is φ = 24061606800.

The previous prime is 72184820459. The next prime is 72184820483. The reversal of 72184820472 is 27402848127.

72184820472 is a `hidden beast` number, since 7 + 21 + 84 + 82 + 0 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501283404 + ... + 501283547.

It is an arithmetic number, because the mean of its divisors is an integer number (8145856485).

Almost surely, 2^72184820472 is an apocalyptic number.

72184820472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72184820472 is an abundant number, since it is smaller than the sum of its proper divisors (123315735168).

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

72184820472 is a wasteful number, since it uses less digits than its factorization.

72184820472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002566963 (or 1002566956 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 72184820472 in words is "seventy-two billion, one hundred eighty-four million, eight hundred twenty thousand, four hundred seventy-two".