72039744 has 168 divisors, whose sum is σ = 250106688. Its totient is φ = 19353600.

The previous prime is 72039743. The next prime is 72039763. The reversal of 72039744 is 44793027.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72039699 and 72039708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72039743) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 68019 + ... + 69069.

Almost surely, 2^72039744 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 72039744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125053344).

72039744 is an abundant number, since it is smaller than the sum of its proper divisors (178066944).

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

72039744 is a wasteful number, since it uses less digits than its factorization.

72039744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72039744 is about 8487.6229887996. The cubic root of 72039744 is about 416.0932976147.

The spelling of 72039744 in words is "seventy-two million, thirty-nine thousand, seven hundred forty-four".