72419023264896 has 1152 divisors, whose sum is σ = 277725756672000. Its totient is φ = 18571693271040.

The previous prime is 72419023264859. The next prime is 72419023265003. The reversal of 72419023264896 is 69846232091427.

72419023264896 is a `hidden beast` number, since 7 + 2 + 41 + 90 + 2 + 3 + 26 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 1324412085 + ... + 1324466763.

It is an arithmetic number, because the mean of its divisors is an integer number (241081386000).

Almost surely, 2^{72419023264896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72419023264896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138862878336000).

72419023264896 is an abundant number, since it is smaller than the sum of its proper divisors (205306733407104).

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

72419023264896 is a wasteful number, since it uses less digits than its factorization.

72419023264896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54812 (or 54781 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 72419023264896 in words is "seventy-two trillion, four hundred nineteen billion, twenty-three million, two hundred sixty-four thousand, eight hundred ninety-six".