72473219792064 has 3136 divisors, whose sum is σ = 293046589480960. Its totient is φ = 17240116101120.

The previous prime is 72473219792053. The next prime is 72473219792189. The reversal of 72473219792064 is 46029791237427.

72473219792064 is a `hidden beast` number, since 7 + 2 + 473 + 2 + 19 + 7 + 92 + 0 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 72473219791992 and 72473219792010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 182552190714 + ... + 182552191110.

Almost surely, 2^{72473219792064} 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 72473219792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146523294740480).

72473219792064 is an abundant number, since it is smaller than the sum of its proper divisors (220573369688896).

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

72473219792064 is a wasteful number, since it uses less digits than its factorization.

72473219792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 72473219792064 in words is "seventy-two trillion, four hundred seventy-three billion, two hundred nineteen million, seven hundred ninety-two thousand, sixty-four".