73007872 has 72 divisors (see below), whose sum is σ = 168360192. Its totient is φ = 30950400.

The previous prime is 73007867. The next prime is 73007881. The reversal of 73007872 is 27870037.

It is a super-3 number, since 3×73007872³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234597 + ... + 234907.

It is an arithmetic number, because the mean of its divisors is an integer number (2338336).

Almost surely, 2^73007872 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 73007872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84180096).

73007872 is an abundant number, since it is smaller than the sum of its proper divisors (95352320).

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

73007872 is a wasteful number, since it uses less digits than its factorization.

73007872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 73007872 is about 8544.4644068543. The cubic root of 73007872 is about 417.9489418188.

The spelling of 73007872 in words is "seventy-three million, seven thousand, eight hundred seventy-two".