72019990580832 has 144 divisors (see below), whose sum is σ = 234072894575520. Its totient is φ = 20576443447296.

The previous prime is 72019990580809. The next prime is 72019990580833. The reversal of 72019990580832 is 23808509991027.

72019990580832 is a `hidden beast` number, since 7 + 2 + 0 + 19 + 9 + 9 + 0 + 580 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 72019990580832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72019990580833) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 60481044 + ... + 61660332.

It is an arithmetic number, because the mean of its divisors is an integer number (1625506212330).

Almost surely, 2^{72019990580832} is an apocalyptic number.

72019990580832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72019990580832 is an abundant number, since it is smaller than the sum of its proper divisors (162052903994688).

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

72019990580832 is a wasteful number, since it uses less digits than its factorization.

72019990580832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209605 (or 1209594 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 72019990580832 in words is "seventy-two trillion, nineteen billion, nine hundred ninety million, five hundred eighty thousand, eight hundred thirty-two".