72839040 has 128 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 19064832.

The previous prime is 72839029. The next prime is 72839059. The reversal of 72839040 is 4093827.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 72838992 and 72839010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112959 + ... + 113601.

It is an arithmetic number, because the mean of its divisors is an integer number (1847475).

Almost surely, 2^72839040 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 72839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400).

72839040 is an abundant number, since it is smaller than the sum of its proper divisors (163637760).

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

72839040 is a wasteful number, since it uses less digits than its factorization.

72839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 72839040 is about 8534.5790757365. The cubic root of 72839040 is about 417.6265217078.

The spelling of 72839040 in words is "seventy-two million, eight hundred thirty-nine thousand, forty".