72067744 has 48 divisors (see below), whose sum is σ = 163090368. Its totient is φ = 30707712.

The previous prime is 72067739. The next prime is 72067753. The reversal of 72067744 is 44776027.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 42399 + ... + 44065.

It is an arithmetic number, because the mean of its divisors is an integer number (3397716).

Almost surely, 2^72067744 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 72067744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81545184).

72067744 is an abundant number, since it is smaller than the sum of its proper divisors (91022624).

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

72067744 is a wasteful number, since it uses less digits than its factorization.

72067744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The square root of 72067744 is about 8489.2722891895. The cubic root of 72067744 is about 416.1471988947.

The spelling of 72067744 in words is "seventy-two million, sixty-seven thousand, seven hundred forty-four".