4073686272 has 108 divisors (see below), whose sum is σ = 11995663680. Its totient is φ = 1328968704.

The previous prime is 4073686249. The next prime is 4073686297. The reversal of 4073686272 is 2726863704.

It is a super-3 number, since 3×4073686272³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89479 + ... + 127097.

It is an arithmetic number, because the mean of its divisors is an integer number (111070960).

Almost surely, 2^4073686272 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 4073686272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5997831840).

4073686272 is an abundant number, since it is smaller than the sum of its proper divisors (7921977408).

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

4073686272 is a wasteful number, since it uses less digits than its factorization.

4073686272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37688 (or 37671 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4073686272 is about 63825.4359327063. The cubic root of 4073686272 is about 1597.0892746765.

The spelling of 4073686272 in words is "four billion, seventy-three million, six hundred eighty-six thousand, two hundred seventy-two".