72046211434848 has 2304 divisors, whose sum is σ = 274767858892800. Its totient is φ = 17412108779520.

The previous prime is 72046211434843. The next prime is 72046211434877. The reversal of 72046211434848 is 84843411264027.

72046211434848 is a `hidden beast` number, since 7 + 2 + 0 + 4 + 621 + 1 + 4 + 3 + 4 + 8 + 4 + 8 = 666.

It is a super-2 number, since 2×72046211434848² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72046211434794 and 72046211434803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72046211434843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 402492801223 + ... + 402492801401.

It is an arithmetic number, because the mean of its divisors is an integer number (119256883200).

Almost surely, 2^{72046211434848} 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 72046211434848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137383929446400).

72046211434848 is an abundant number, since it is smaller than the sum of its proper divisors (202721647457952).

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

72046211434848 is a wasteful number, since it uses less digits than its factorization.

72046211434848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 72046211434848 in words is "seventy-two trillion, forty-six billion, two hundred eleven million, four hundred thirty-four thousand, eight hundred forty-eight".