72043888432320 has 896 divisors, whose sum is σ = 291409477632000. Its totient is φ = 16413602033664.

The previous prime is 72043888432301. The next prime is 72043888432349. The reversal of 72043888432320 is 2323488834027.

72043888432320 is a `hidden beast` number, since 7 + 20 + 4 + 388 + 8 + 4 + 3 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30030798481 + ... + 30030800879.

It is an arithmetic number, because the mean of its divisors is an integer number (325233792000).

Almost surely, 2^{72043888432320} is an apocalyptic number.

72043888432320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72043888432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704738816000).

72043888432320 is an abundant number, since it is smaller than the sum of its proper divisors (219365589199680).

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

72043888432320 is a wasteful number, since it uses less digits than its factorization.

72043888432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 72043888432320 in words is "seventy-two trillion, forty-three billion, eight hundred eighty-eight million, four hundred thirty-two thousand, three hundred twenty".