73067484672 has 800 divisors, whose sum is σ = 282819398400. Its totient is φ = 18238390272.

The previous prime is 73067484629. The next prime is 73067484689. The reversal of 73067484672 is 27648476037.

73067484672 is a `hidden beast` number, since 7 + 30 + 67 + 484 + 6 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71704579 + ... + 71705597.

It is an arithmetic number, because the mean of its divisors is an integer number (353524248).

Almost surely, 2^73067484672 is an apocalyptic number.

73067484672 is a gapful number since it is divisible by the number (72) 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 73067484672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141409699200).

73067484672 is an abundant number, since it is smaller than the sum of its proper divisors (209751913728).

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

73067484672 is a wasteful number, since it uses less digits than its factorization.

73067484672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 73067484672 in words is "seventy-three billion, sixty-seven million, four hundred eighty-four thousand, six hundred seventy-two".